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# Converse of same side exterior angles theorem

Extra Theorem: Converse of the Same-Side Exterior Angles Theorem. If two lines and a transversal form same-side exterior angles that are supplementary, then the two limes are parallel. Theorem 3-11: Triangle Angle-Sum Theorem. The sum of the measures of the angles of a triangle is 180 Converse of the Alternate Exterior Angles Theorem The converse of the Alternate Exterior Angles Theorem is also true: The Converse of the Alternate Exterior Angles Theorem states that if alternate exterior angles of two lines crossed by a transversal are congruent, then the two lines are parallel. Alternate Exterior Angles Example By Converse of the Alternate Exterior Angles Theorem that implies that If 2 lines and a transversal create an alternate exterior angles that are in congruence, then the two lines are parallel. By Same-Side Interior Angles Principle that implies that If 2 lines and a transversal create same-side interior angles that are additional. Same-Side Exterior Angle Theorem If two parallel lines are intersected by a transversal, then exterior angles on the same side of the transversal are supplementary. Converse of the Corresponding Angles Postulate If two coplanar lines are cut by a transversal so that a pair of corresponding angles are congruent, then the two lines are parallel Same-side Interior Angles Postulate. Converse of Same Side Interior Angles Postulate. Prove Converse of Alternate Interior Angles Theorem. Converse of Corresponding Angles Theorem. Proving Lines Parallel #1. Next. Vertical Angle Theorem. New Resources. Polyhedra packing animation; CA GGB Abs Val Inequality 001

### Geometry III Chapter 3 Theorems Flashcards Quizle

Converse of Same-Side (Consecutive) Interior Angles Theorem. Directions: Move point E or F and analyze the relationship between the measurements. Use what you notice to complete the definition. Same-Side Interior Angles Converse Theorem If two coplanar lines are cut by a transversal so that a pair of same-side interior angles are. conclusion with a theorem or postulate. a. j Ä k, by the Converse of the Same-Side Interior Angles Theorem b. j Ä k, by the Converse of the Alternate Interior Angles Theorem c. g Ä h, by the Converse of the Alternate Interior Angles Theorem d. g Ä h, by the Converse of the Same-Side Interior Angles Theorem ____ 14. m∠1 = 6x andm∠3 = 120

Alternate Exterior Angles Theorem. Alternate Exterior Angles converse. Tags: Question 16 . SURVEY . 180 seconds . Q. In this figure, angle 1 = 135 degrees Converse of Same Side Interior. Line FB, Line Ch, Converse of alternate interior Angles. Line BF, Line HC, Converse of Corresponding Angles. Tags: Question 22 . SURVEY . 180 seconds . Q. <p>Converse of Alternate Exterior Angles Theorem</p> <p>Converse of Corresponding Angles Postulate</p> <p>Converse of Same-side Interior Angles Theorem</p> answer explanation . Tags: Topics: Report an issue. Quizzes you may like . 10 Qs . Angles All Around . 16.7k plays . Math - 4th . 12 Qs . Polygon Angle Sum Theorem. Same side interior; Same side exterior; These are all converse theorems from the last lesson. Have these written in your notes. Same Side Interior Angles Converse Theorem. Same Side Interior Angles Converse Theorem states that if two lines are cut by a transversal and the same side interior angles are supplementary, then the two lines are parallel Two angles that are exterior to the parallel lines and on the same side of the transversal line are called same-side exterior angles. The theorem states that same-side exterior angles are supplementary, meaning that they have a sum of 180 degrees

### Alternate Exterior Angles (Definition, Theorem, Examples

Theorem 3-5: Converse of the Alternate Interior Angles Theorem. Theorem If Then If two lines and a transversal form alternate interior angles that are congruent, then the lines are parallel. l m 4 6 46 lm|| Theorem 3-6: Converse of the Same-Side Interior Angles Postulate. Theorem If Then If two lines and a transversal form same-side interior angles http://mathispower4u.wordpress.com Converse of the Corresponding Angles Theorem Remind students that the corresponding angles theorem states that if the transversal cuts across two parallel lines, then the corresponding angles are congruent or equal in angle measure

### Corresponding Angles - Types, Converse and Solved Example

1. The Converse of Same-Side Interior Angles Theorem Proof. Let L 1 and L 2 be two lines cut by transversal T such that ∠2 and ∠4 are supplementary, as shown in the figure. Let us prove that L 1 and L 2 are parallel.. Since ∠2 and ∠4 are supplementary, then ∠2 + ∠4 = 180°. By the definition of a linear pair, ∠1 and ∠4 form a linear pair
2. The converse of the same-side interior angle theorem states that if a transversal intersects two lines such that a pair of same-side interior angles are supplementary, then the two lines are parallel. Converse of Same Side Interior Angles Theorem Proof. Considering same above figure, Let us assume that. ∠4+∠5 = 180° ⇒ (1
3. The converse of this theorem is also true; that is, if two lines k and l are cut by a transversal so that the alternate exterior angles are congruent, then k ∥ l
4. Ppt 3 Proving Lines Parallel Powerpoint Presentation Free. See also Maison Abandonnée Belgique. Given Prove Proof. Given Ms Schmitz Geometry. Proof alternate exterior angles converse you alternate exterior angles definition theorem examples same side interior angles proof you ppt 1 write a proof of the alternate exterior angles theorem
5. The converse of the theorem is true as well. If two corresponding angles are congruent, then the two lines cut by the transversal must be parallel. Similarly, if two alternate interior or alternate exterior angles are congruent, the lines are parallel. parallel lines theorem transversal. So the question is, if we have two lines that might be.
6. Definition. same side interior angles. Same side interior angles are two angles that are on the same side of the transversal and on the interior of the two lines. supplementary angles. Two angles that add up to . transversal. A line that intersects two other lines
7. When a transversal crosses any two parallel lines, it forms many angles like alternate interior angles, corresponding angles, alternate exterior angles, consecutive interior angles. Consecutive interior angles are formed on the inner sides of the transversal and are also known as co-interior angles or same-side interior angles

• Same-Side Interior Angle Theorem: If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are supplementary . • Same-Side Exterior Angle Theorem : If two parallel lines are intersected by a transversal, then exterior angles on the same side of the transversal are supplementary Thus the converse of alternate interior angles theorem is proved. Converse alternate interior angles theorem states that if two lines and a transversal form alternate interior angles that are congruent, then the two lines are parallel. Code to add this calci to your website Related Calculators:. A series of free, online High School Geometry Video Lessons and solutions. Videos, worksheets, and activities to help Geometry students. In this lesson, we will learn. alternate interior angles. alternate exterior angles. same side interior and same side exterior angles. converse of the parallel lines theorem Prove the converse of the Same-Side Interior Angles Postulate using two-column proof method. Prove the converse of Alternate Interior Theorem using two-column proof method. 5

### Unit 3 Math Review Flashcards Quizle

1. Answers A 1 Vertical Angle Theorem 2 Converse Of Same Side. Corresponding Angles Postulate And Alternate Interior. Discussion Section 1 3. Same Side Exterior Angles Definition Theorem Lesson. Proof Consecutive Interior Angles Are Supplementary You. READ Room Decor Ideas Diy Origami
2. Proof Consecutive Interior Angles Are Supplementary You. Answers A 1 Vertical Angle Theorem 2 Converse Of Same Side. READ Command Party Ceiling Hooks Uk. Ppt 3 Proving Lines Parallel Powerpoint Presentation Free. Lesson 7 1. Same Side Exterior Angles Definition Theorem Lesson. Same Side Interior Angles Definition Theorem Lesson
3. Same side exterior Theorem (SSE THM) Example: Given: Angle plus angle 6 equals 180. Prove: A is parallel to angel B. S R. Angle 4 plus angle 6 equals 180 Given. Angle 2 plus angle 4 equals 180 Linear Pair. Angle 2 is congruent to angle 6 Transitive Property. Therefore angle A is parallel to angle B Converse of CAP
4. Same-side Exterior Angles Theorem : If a transversal intersects two parallel lines, then same side exterior angles are supplementary. Converse of the Alternate Interior Angles Theorem : If two lines and a transversal form alternate interior angles that are congruent, then the two lines are parallel. Converse to the Alternate Exterior Angles.

converse of same side exterior angles theorem. Date: January 22, 2021 By Categories: Uncategorized No comments. Exterior Angles on the Same Side of the Transversal Theorem - Converse If Exterior angles on the same side of the transversal sum to 180, then lines are parallel m<1+m<8=180 Alternate Interior Angles Theorem - Converse If Alternate Interior angles have equal measure, then lines are parallel. Angle 3 and Angle 5, Angle 4 and Angle 6 Angle 12. Since angles 2 and 8 are alternate exterior angles, the lines AB and CD are parallel according to the Converse of the Alternate Exterior Angles Theorem. Converse of the Same-Side Interior Angles - Theorem If two coplanar lines are cut by a transversal so that a pair of same-side interior angles are supplementary, then the two lines are parallel Converse of Same-Side Interior Angles Theorem Converse of Alternate Exterior Angles Theorem In a plane, if a two lines are parallel to the same line, then they are parallel to each other. In a plane, if a two lines are perpendicular to the same line, then they are parallel. In a plane if a line is perpendicular to one of two parallel lines. Theorem Alternate Exterior Angles Theorem Same- Side Interior Angles Theorem Vertical Angles Theorem Linear Pair Theorem Converse to Corresponding Angles Postulate Converse to Alternate Interior Angles Theorem Converse to Alternate Exterior Angles Theorem Converse to Same-Side Interior Angles Theorem If two lines are par el, then corresponding.

### Proofs - GeoGebr

1. The same-side interior angles are supplementary, so pieces A and B are parallel by the Converse of the Same-Side Interior Angles Theorem. Check It Out! Example
2. C ) Converse of the same-side interior angles theorem: this theorem says when two lines intersected by transversal forms supplementary same side interior angles then two lines are parallel. So yes this can use to check or prove that l and m are parallel by drawing a transversal intersecting l and m and checking same side interior angles
3. Exterior angles on the same side of the transversal are supplementary if the two lines are parallel. This is same with interior angles. Types of Corresponding Angles. The two types of corresponding angles are: 1) Corresponding Interior Angle: Found at the inner side of the intersection between the parallel lines and the transversal

3.7: Same Side Interior Angles. Angles on the same side of a transversal and inside the lines it intersects. Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines. Same Side Interior Angles Theorem: If two parallel lines are cut by a transversal, then the same side. Theoreom 3-8 Converse of Same Side Exterior Angles Theorem: Definition. if two lines and a transversal line form same-side exterior angles which are congruent, then the two lines are parralle: Term. Theorem 3-9: Definition. If 2 lines are parrallel to the same line, then they are parallel to each other Exterior Angle Theorem. Statement: If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles. According to the Exterior Angle property of a triangle theorem, the sum of measures of ∠ABC and ∠CAB would be equal to the exterior angle ∠ACD

Same-side Interior Angles Theorem If two parallel lines are intersected by a transversal, then same-side interior angles are supplementary. Converse of Alternate Interior Angles Theorem If two lines are intersected by a transversal and alternate interior angles are equal in measure, then the lines are parallel Converse of Alternate Exterior Angles Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints

Same Side Interior Angles Converse Theorem states that if two lines are cut by a transversal and the same side interior angles are supplementary then the. 4x 3x 1916. If we know that same-side interior angles of two lines add up to 180 degrees what is the most important conclusion that we can draw about the lines. 4x 19 0 4 35 19 121 0. Same. Converse of the Alternate Exterior Angles Theorem. If two lines are crossed by a transversal and the alternate exterior angles are congruent, then the lines crossed by the transversal are parallel. Putting together the alternate exterior angles theorem and its converse, we get the biconditional statement: Two lines crossed by a transversal are. 3. Same-side Interior Angles Theorem. If two lines are parallel with an intersect of a transversal, then the two lines and transversal form same-side interior angles that are supplementary. Converse of the SSIA Thm: If two lines and a transversal form SSIA that are supp, then the two lines are paralle In today's geometry lesson, we'll prove the converse of the Alternate Interior Angles Theorem.. We have shown that when two parallel lines are intersected by a transversal line, the interior alternating angles and exterior alternating angles are congruent (that is, they have the same measure of the angle.). We will now show that the opposite is also true

### Converse of Same-Side (Consecutive) Interior Angles Theore

• In today's lesson, we will show a simple method for proving the Consecutive Interior Angles Converse Theorem. The Consecutive Interior Angles Theorem states that the consecutive interior angles on the same side of a transversal line intersecting two parallel lines are supplementary (That is, their sum adds up to 180).. Here we will prove its converse of that theorem
• The only way for corresponding angles to be congruent is for the lines to be parallel. The corresponding angles converse is also a postulate, which means it is accepted as true without proof. Example 3. Prove that if lines are parallel, then same side interior angles (such as ∠ 3 and ∠ 6) are supplementary
• Converse of Parallel Lines Theorem If two lines are intersected by a transversal, then alternate interior angles, alternate exterior angles, and corresponding angles are congruent. The converse of the theorem is true as well. If two corresponding angles are congruent, then the two lines cut by the transversal must be parallel

Which theorem correctly justifies why the lines m and n are parallel when cut by transversal k? converse of the corresponding angles theorem converse of the alternate interior angles theorem converse of the same side interior angles theorem converse of the alternate exterior angles theorem So, it would look like this: If alternate interior angles formed by two lines with an intersecting traversal are congruent. then these two lines are parallel. Using the same figure above, this converse theorem can be symbolically expressed as. I F (α = β)T H EN (l1 ∣ ∣ l2) or. (α = β) ⇒ (l1 ∣ ∣ l2 Converse of the Same-Side Interior Angles Postulate (Explore in Realize) If two lines and a transversal form same-side interior angles that are supplementary, then the lines are parallel. Converse of the Alternate Exterior Angles Theorem (Explore in Realize Transcribed image text: Name each angle pair. 15 3 2 . m 22 and 24 23 and 25 [ Choose) [ Choose ] Alternate Interior Angles Vertical Angles Linear Pair Corresponding Angles No relationship Same-Side Exterior Angles Same-Side Interior Angles Alternate Exterior Angles Question 3 Find the value of each variable in the diagram given that a || b. w х 2y b 130° Z 30° V V= o W= O X= y =

The Converse of the Corresponding Angles Theorem says that if two lines and a transversal form congruent corresponding angles, then the lines are parallel. Alternate Interior Angles in Real Life Look at a window with panes divided by muntins Converse of the Parallel Lines Conjecture Same-Side Exterior Angles Conjecture If two parallel lines are cut by a transversal, then the exterior angles on the same side of the transversal are supplementary. Also called Same-Side Exterior Angles Theorem (SSEAT) rnzl +mz7=1800 . Example 1: Using the parallel line conjectures,. Converse Of Same Side Consecutive Interior Angles Theorem Geogebra How many sides does a regular polygon have if one interior angle measures 157.5° ? 792x207 - A little about exterior angles being the sum of the remote interior angles another example of using congruency to figure out a bunch of angles watch the next lesso Converse of the Corresponding Angles Postulate THEOREM If two coplanar lines are cut by a transversal so that a pair of corresponding angles are Exterior Angles Theorem same-side interior angles are supplementary, then the two lines are parallel. Theorems Proving Lines Parallel 6/5 . 65 87 65 . Piece A Piece B Same Side Exterior Angles: PINK. Same Side Exterior Angle Theorem: If two parallel lines are cut by a Transversal then the pairs of Same Side Exterior Angles are Supplementary. Same Side Exterior Angle Theorem Converse: If two lines and a transversal form same-side exterior angles that are supplementary, then the lines are parallel

Write the converse of each postulate or theorem. 1. Alternate Interior Angle Theorem: If two parallel lines are intersected by a transversal, then alternate interior angles are congruent. 2. Alternate Exterior Angle Theorem: If two parallel lines are intersected by a transversal, then alternate exterior angles are congruent. 3. Same. Converse Of Same Side Interior Angles Theorem Algebra And. See also Floorplanner 5d. Ppt 1 Write A Proof Of The Alternate Exterior Angles Theorem. Given Xw Xy Zy Prove Δwxz Δyzx A Alternate Interior. See also 2018 Jeep Cherokee Trailhawk Tire Size. Proof Consecutive Interior Angles Are Supplementary You. Alternate Interior Angles Theorem Notice that this is the converse of Theorem 3-2. We can rewrite them as the Alternate Interior Angle Theorem Two lines cut by a transversal are parallel if and only if alternate interior angles are congruent. Theorem 3-6 If two lines are cut by a transversal and same-side interior angles are supplementary, then the lines are parallel. Biconditiona Thm. 3-3-4 Converse of the Alternate Exterior Angles Theorem If two coplanar lines are cut by a transversal so that a pair of alternate exterior angles are congruent, then the two lines are parallel. Thm. 3-3-5 Converse of the Same-Side Interior Angles Theorem If two coplanar lines are cut by a transversal so that a pair of same-side interior.

Consecutive Interior Angles Converse Theorem . This page explains the 'Consecutive Interior Angles Converse Theorem'. Use this section to learn this theorem in a simple way. This theorem states that if two lines are cut by a transversal so that the consecutive interior angles are supplementary, then the lines are said to be parallel Theorem 3-9 Polygon Angle-Sum Theorem. The sum of the measures of the angles of an n-gon is. Theorem 3-10 Polygon Exterior Angle-Sum Theorem. The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360. Slopes of Parallel Lines. If two nonvertical lines are parallel, their slopes are equal

### Chapter 3 Practice Geometry Quiz - Quiziz

An exterior angle of a polygon is an angle formed by a side and an extension of an adjacent side. For each exterior angle of a triangle, the two nonadjacent angles are its remote interior angles. In the triangle below <1 is an exterior angle and <2 and <3 are its remote interior angles In this picture, I'm proving that two lines are parallel by using the converse of the same side interior angles proof (shown above) You can also use a converse of Same Side Exterior Angles Proof, Converse of Alternate Interior Angles Proof, and Converse of Alternate Exterior Angles Proo Geometry Midterm Study Guide. Lily Taylor. 19 October 2020. 51 test answers. question. converse of the alternate exterior angles theorem. answer. if two lines and a transversal form alternate exterior angles that are congruent, then the two lines are parallel. question Assume the same side interior angles of L and T and M and T are supplementary, namely α + γ = 180º and θ + β = 180º. Then, by the parallel axiom , L and M do not intersect because the interior angles on each side of the transversal equal 180º, which, of course, is not less than 180º

Converse theorem should look like if B then A: So, alternate interior angles are congruent, alternate exterior angles are congruent, and consecutive interior angles become supplementary, which means they have a sum of 180 degrees. Consecutive interior angles are the pairs of angles that are between two lines and on the same side of. Converse of alternate exterior angles theorem. answer. Converse of the same-side interior angles theorem. answer. If two coplanar lines are cut by a transversal so that a pair of same-side interior angles are supplementary, then the two lines are parallel. question. Perpendicular congruent angles theorem

### Proving Lines are Parallel Mathematics - Quiziz

1. Print Same-Side Interior Angles: Definition & Theorem Worksheet 1. In this figure, we know that lines a and b are parallel and that the value of angle 6 is 80 degrees
2. The converse of any theorem interchanges the IF and THEN parts of the theorem. Be careful though, since the converse does not necessarily have the same truth value as the original theorem. The AIA Theorem says that IF parallel lines are cut by a t..
3. The Parallel Postulate. Definition. Through any point not on a line, there's exactly one line that can be drawn parallel to the given line. Term. Converse of the Alternate Interior Angles Theorem. Definition. If the alternate interior angles are congruent, then the lines are parallel. Term. Converse of the Same-side Interior Angles Theorem

### 3.04 Proving Lines are Paralle

Theorem 3-8 Converse of the Same-Side Exterior Angles Theorem If two lines and a transversal form same-side exterior angles that are supplementary, then the two lines are parallel. If Zl and L 3 are supplementary, then a Il b. Postulate 3-2 Converse of the Corresponding Angles Postulate If two lines and a transversal form correspondin Converse of the Same-Side Exterior Angles Theorem Theorem 3-8 If two lines and a transversal form same-side exterior angles that are supplementary, then the two lines are parallel. If Z I and £3 are supplementary. then a Il b. Theorem 3-5 Converse of the Alternate Interior Angles Theorem If two lines and a transversal form alternat Converse of the Same-Side Interior Angles Postulate Then . mL3 + mL6 - 180 Converse of the Alternate Exterior Angles Theorem Then Problem I Identifying Parallel Lines Which lines are parallel if Ll £2? Justifyyour answer. Theorem 3-4 Theorem If two lines and a transversal form corresponding angles that are congruent, then the lines are parallel Converse of Same-Side Interior Angles Theorem - if two lines in a plane are cut by a transversal so that a pair of consecutive interior angles are supplementary, then the lines are parallel. Converse of Alternate Exterior Angles Theorem - if two lines in a plane are cut by a transversal so that a pair of alternate interior angles are congruent.

### What is the converse of alternate exterior angles Theorem

• Nice one, need more consecutive interior same side interior alternate exterior images like this. Consecutive Exterior Theorem Pairs Congruent Congruent: Get more info about Converse Of The Corresponding Angles Postulate related to your area Area
• Thm: Converse of the Alternate Interior Angles Theorem Thm: Converse of the Same-Side Interior Angles Theorem Thm: Converse of the Alternate Exterior Angles Theorem Which lines are parallel if..Why? ∠1!≅∠2 ∠2!≅∠6 !∠1+∠5 = 180 ∠8!≅∠3 Flow proof
• Angles 1 and 8 are alternate exterior angles, and angles 2 and 7 are alternate exterior angles. • Interior angles on the same side of the transversaldo not have a common vertex. Angles 3 and 5 are interior angles on the same side of the transversal, and angles 4 and 6 are interior angles on the same side of the transversal
• so that consecutive (same side) interior angles are supplementary, then the lines are parallel If £3 is supplementary to £5 or £4 is supplementary to £6, then line m is parallel to line n. Theorem: If two lines are cut by a transversa
• Same-Side Exterior Angle Theorem If two parallel lines are intersected by a transversal, then exterior angles on the same side of the transversal are supplementary. Converse of the Corresponding Angles Postulat
• Alternate Exterior Angles Theorem Same-Side Interior Angles Theorem If transversal is perpendicular to parallel lines, then all angles are right angles. **Problems using Algebra 3.3 Postulates and Theorems Proving Lines Parallel Converse of the Corresponding Angles Postulate Parallel Postulate Converse of the Alternate Interior Angles Theorem.
• alternate exterior angles are congruent, then the two lines are parallel. Theorem 3-3-5 (Converse of the Same-Side Interior Angles Theorem) If two coplanar lines are cut by a transversal so that a pair of same-side interior angles are supplementary, then the two lines are parallel. Theorem 3-4-1 If two intersecting lines form a linear pair of.

Converse of the Alternate Exterior Angles Theorem Converse of the Same-Side Exterior Angles Theorem. Pearson Prentice Hall Geometry Lesson 3-2 Page 2 of 2 Homework: DAY 1 pp. 137-140 #10-22, 24-27, 38-39, 51-53, 55, 58-59(in terms of π) DAY 2 pp. 137-140 #40-5 gio375. Answer: 6.Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines. Converse of the Same Side Interior Angles Theorem: If two lines are cut by a transversal and the same side interior angles are supplementary, then the lines are parallel #26. Same side interior angle theorem - says that If two lines are parallel and same side interior angles are formed, then the angles will be supplementary to one another. #27. Converse of same side interior angle theorem - says that If same side interior angles ar Alternate exterior angles theorem: if 2 parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent; Same-side interior angles theorem: if 2 parallel lines are cut by a transversal, then the pairs of same-side interior angles are supplementary; Converse of the corresponding angles postulate: if 2 coplanar.

The Same-Side Interior Angles Converse Theorem states: If two ines intersected by a transversal form supp ementary same-side interior angles, then the lines are paral el. 5. Consider the exterior angles theorems. a. Write the converse of the Alternate Exterior Angles Theorem. Draw a diagram and write a proof plan. b. Write the converse of the. Converse of Consecutive Interior Angles Theorem. SHORT RESPONSE Find x so that m || n. Show your work. 62/87,21 angle and DQJOH are alternate exterior angles of lines m and n. Since m || n by the Converse of Alternate Exterior Angles Theorem. Solve for x. PROOF Copy and complete the proof of Theorem 3.5. Given: Prove: Proof: 62/87,2 The converse of a theorem is not automatically true. If it is true, it must be 4 8 4 and 8 are alternate exterior angles. r | pieces A and B are parallel by the Converse of the Same-Side Interior Angles Theorem. Holt McDougal Geometry 3-3 Proving Lines Parallel Check It Out! Example Alternate Exterior Angles: If two parallel lines are cut by a transversal, then the alternate exterior angles are congruent. Interiors on Same Side : If two parallel lines are cut by a transversal, the interior angles on the same side of the transversal are supplementary. Alternate Interior Angles Converse Alternate Exterior Angles Theorem Same-Side Interior Angles Theorem If transversal is perpendicular to parallel lines, then all angles are right angles. 3.3 Converse of the Corresponding Angles Postulate Converse of the Alternate Interior Angles Theorem Converse of the Alternate Exterior Angles Theorem Converse of the Same-Side Interior Angles.

### Proof: Alternate Exterior Angles Converse - YouTub

Same-Side : Exterior Angles Theorem If a transversal _____ two parallel lines, then _____ _____ angles are supplementary. Converse of the Same-Side Exterior : Angles Theorem If two lines and a transversal form same-side exterior angles that are _____, then the two lines are parallel. Theorem 3-9 : If two lines are parallel to the. Demonstrate understanding of the Alternate Exterior Angles heorem, the Same-Side Exterior Angles Theorem, and their converses. Prove the Line Write a proof p an to help connect mathematica statements using deductive reasoning. Key Terms Corresponding Angles Theorem Corresponding Angles Converse Theorem Same-Side nterior Angles Theorem

### How to Prove Lines Are Paralle

Same-Side Exterior Angle Converse Theorem: If two lines intersected by a transversal form supplementary same-side exterior angles, then the lines are parallel. Use the diagram to answer the questions. p 1 3 2 4 5 7 6 8 r t 1. Which theorem or postulate would use 2 7 to justify line p is parallel to line r? 2 In this picture, I'm proving that two lines are parallel by using the converse of the same side interior angles proof (shown above) You can also use a converse of Same Side Exterior Angles Proof, Converse of Alternate Interior Angles Proof, and Converse of Alternate Exterior Angles Proo Alternate Exterior Angles Theorem Consecutive Interior- (Same Side Interior) Angles Theorem **Know more difficult problems with multiple lines, systems of equations and factoring! (we had 2 worksheets on this!) 3.3 Proving Lines Parallel **Converses used to show lines are PARALLEL Corresponding Angles Converse Alternate Interior Angles Converse. same side Examples : 80 Com Ill m 100 Corresponding Angles Vertical Angles Alternate Intenor Angles Alternate Extenor Angles Note: The converse of each theorem is true. EX: If altemate interior angles are congruent, then the lines are parallel Same Side Intenor Angles Same Side Extenor Angles Vert. 100 0 80 100 100 80 Alt. Ext. 80 SSI Alt. Int

### Same-Side Interior Angles: Theorem, Proof, and Examples

So if I chose angle two the same side exterior would not be 6 cause 6 is in between the parallel lines but it will be 7. The theorem states that same-side exterior angles are supplementary, meaning that they have a sum of 180 degrees. Consecutive exterior angles are consecutive angles sharing the same outer side along the line. 3. succeed The linear pair perpendicular theorem states that when two straight lines intersect at a point and form a linear pair of equal angles, they are perpendicular. A linear pair of angles is such that the sum of angles is 180 degrees. As the angles measure 90 degrees, the lines are proved to be perpendicular to each other. Are parallel lines congruent 0 degrees. At the intersection of lines k and n, the uppercase right angle is 50 degrees. Which theorem correctly justifies why the lines m and n are parallel when cut by transversal k? converse of the corresponding angles theorem converse of the alternate interior angles theorem converse of the same side interior angles theorem converse of the alternate exterior angles theorem The exterior angle theorem is Proposition 1.16 in Euclid's Elements, which states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles. This is a fundamental result in absolute geometry because its proof does not depend upon the parallel postulate.. In several high school treatments of geometry, the term exterior angle.

The converse of a postulate or theorem may or may not be true. The converse of the Same-Side Interior Angles Postulate is accepted as and this makes it possible to prove that the converses of the previous theorems are mae. If two lines are cut by a transversal so that a pair of same-side interior angles are supplementary, then the lines are. Converse of Same-Side Exterior Angles Theorem If the pairs of same side exterior angles are supplementary, then the two lines cut by a transversal are parallel. EXAMPLE 4 Given the following information, which lines, if any, could be proven to be parallel? Justify your conclusion with the appropriate theorem. a. 2 7 b. 2 9 c. 8 is supplementary.

### Same Side Interior Angles - Definition, Theorem & Example

What is the converse and the truth value of the converse of the following conditional statement? If an angle is a right angle, then its measure is 90°. Same-Side Interior Angles Theorem c. Same-Side Exterior Angles Theorem b. Corresponding Angles Theorem d. Triangle Angle-Sum Theorem. Name: _____ ID: A 9 ____ 20. Vicky looked at the. o 180 degrees. Since same side interior angles add up to 180 degrees and are same side and in the interior you can say that according to the converse of same side interior angles theorem, if those angles are same side interior angles, then the lines AB and CD are parallel The Exterior Angle Theorem is used in the proof of the Triangle Inequality. Theorem 2.12. Given a line and a point not on the line, there exists a unique line perpendicular to the given line through the given point. Theorem 2.13. Two lines perpendicular to the same line are parallel. Theorem 2.14 Exterior Angle Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles. Sum of the Interior Angles of a Polygon: The sum, s, of the measures of the interior angles of a polygon with n sides is given by s=(n-2)180: Measure of an Interior Angle of a Regular Polygon: The measure, m.