   Chapter 3.3, Problem 33E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# Suppose that Δ A B C ≅ Δ D E F . Also, A X ¯ bisects ∠ C A B and D Y ¯ bisects ∠ F D E . Are these corresponding angle bisectors of congruent triangles congruent? Exercises 35, 36

To determine

To prove:

CAB is congruent to FDE.

Explanation

Approach:

(1) Corresponding parts of congruent triangles are congruent (CPCTC).

(2) If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent (ASA).

Calculation:

Consider the given figure.

Prove of the given statement is as follows.

 Proof Statement Reasons (1) ΔABC≅ΔDEF (1) Given (2) AC¯≅DF¯, AB¯≅

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