Provide a proof for the following theorem: Let EPAB and FQCD be two asymptotic triangles. If angle APE is congruent to angle CQF and angle PAB = angle QCD, then AP = CQ.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.1: Rectangular Coordinate Systems
Problem 15E
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Provide a proof for the following theorem: Let EPAB and FQCD be two asymptotic triangles. If angle APE is congruent to angle CQF and angle PAB = angle QCD, then AP = CQ.

Theorem 6.5.5 (Angle-Angle Congruence Condition). Let AEPAB and AFQCD be two
asymptotic triangles. If LAPE = LCQF and LPAB = LQCD, then AP = CQ.
Transcribed Image Text:Theorem 6.5.5 (Angle-Angle Congruence Condition). Let AEPAB and AFQCD be two asymptotic triangles. If LAPE = LCQF and LPAB = LQCD, then AP = CQ.
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