PROVING A THEOREMA2) Use the reason bank to prove the Consecutive Interior Angles Theorem (Thm. 3.4).pl q, and t as the transversalProve 21 and 22 are supplementary angles.Two-Column ProofSTATEMENTS1. pq, and t as the transversalGiven2. 41 = 233.4.5.6.m21 m23m22+ m23 = 180°m22+ m21 = 180°21 and 22 are supplementaryangles.ReasonsBankREASONSGiven1. Given2.3.4.5.6.Definition of supplementary anglesDefinition of congruent anglesSubstitution Property of EqualityLinear Pair Postulate (Pos. 2.8)Alternative Interior Angles Theorem (Thm. 3.2)

Answered: Image /qna-images/answer/1c6c362f-d8da-4649-b79f-5f85d9fb8ae0.jpg

PROVING A THEOREM AZ) Use the reason bank to prove the Consecutive Interior Angles Theorem (Thm. 3.4). Given pl q, and t as the transversal - 21 and 22 are supplementary angles. Prove Two-Column Proof STATEMENTS 1. pq, and t as the transversal 2. 3. 41 = 23 m21 m23 4. m2 + m23 = 180° 6. 5. m22+ m21 = 180° 21 and 22 are supplementary angles. Reasons Bank REASONS Given 1. Given 2. 3. 4. 5. 6. Definition of supplementary angles Definition of congruent angles Substitution Property of Equality Linear Pair Postulate (Pos. 2.8) Alternative Interior Angles Theorem (Thm. 3.2)

PROVING A THEOREM AZ) Use the reason bank to prove the Consecutive Interior Angles Theorem (Thm. 3.4). Given pl q, and t as the transversal - 21 and 22 are supplementary angles. Prove Two-Column Proof STATEMENTS 1. pq, and t as the transversal 2. 3. 41 = 23 m21 m23 4. m2 + m23 = 180° 6. 5. m22+ m21 = 180° 21 and 22 are supplementary angles. Reasons Bank REASONS Given 1. Given 2. 3. 4. 5. 6. Definition of supplementary angles Definition of congruent angles Substitution Property of Equality Linear Pair Postulate (Pos. 2.8) Alternative Interior Angles Theorem (Thm. 3.2)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter5: Similar Triangles

Section5.3: Proving Triangles Similar

Problem 4E: Classify as true or false: a If the midpoints of two sides of a triangle are joined, the triangle...

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