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PROOF CONCLUSIONS (1) Parallel lines and m intersect a transversal t at P and Q, with alternate interior angles 21 and 22. (2) Suppose m/1 # m2, and, for sake of argument, m/1 > m/2. (The proof is virtually the same if m21

PROOF CONCLUSIONS (1) Parallel lines and m intersect a transversal t at P and Q, with alternate interior angles 21 and 22. (2) Suppose m/1 # m2, and, for sake of argument, m/1 > m/2. (The proof is virtually the same if m21

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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what would be the justifications for 4,5, and 6

PROOF Proof of Conditional Statement #2 (Theorem 2) CONCLUSIONS (1) Parallel lines and m intersect a transversal t at P and Q, with alternate interior angles 21 and 22. (2) Suppose m/21 # m/2, and, for sake of argument, m/1 > m/2. (The proof is virtually the same if m21 < m22.) (3) Construct ray PR on the opposite side of t as 22 so that m/QPR = m/2. (4) Then line RP (= m') is parallel to l. (5) Thus, m' || € and m || l. →← (6) ..m/1 = m/2 or 1 = 42. m 1 2 m m'. e JUSTIFICATIONS Given Assumption for indirect proof Angle Construction Theorem R ? .? 2/2
Transcribed Image Text:PROOF Proof of Conditional Statement #2 (Theorem 2) CONCLUSIONS (1) Parallel lines and m intersect a transversal t at P and Q, with alternate interior angles 21 and 22. (2) Suppose m/21 # m/2, and, for sake of argument, m/1 > m/2. (The proof is virtually the same if m21 < m22.) (3) Construct ray PR on the opposite side of t as 22 so that m/QPR = m/2. (4) Then line RP (= m') is parallel to l. (5) Thus, m' || € and m || l. →← (6) ..m/1 = m/2 or 1 = 42. m 1 2 m m'. e JUSTIFICATIONS Given Assumption for indirect proof Angle Construction Theorem R ? .? 2/2
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