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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
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.4: Analytic Proofs
Problem 34E: Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b,...
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PROVING A THEOREM A2) Use the reason bank to prove the Consecutive Interior Angles Theorem (Thm. 3.4). pl q, and t as the transversal Prove 21 and 22 are supplementary angles. Two-Column Proof STATEMENTS 1. pq, and t as the transversal Given 2. 41 = 23 3. 4. 5. 6. m21 m23 m22+ m23 = 180° 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)
Transcribed Image Text:PROVING A THEOREM A2) Use the reason bank to prove the Consecutive Interior Angles Theorem (Thm. 3.4). pl q, and t as the transversal Prove 21 and 22 are supplementary angles. Two-Column Proof STATEMENTS 1. pq, and t as the transversal Given 2. 41 = 23 3. 4. 5. 6. m21 m23 m22+ m23 = 180° 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)
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