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Elementary Geometry for College St...

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

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BuyFindarrow_forward

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?

Chapter 3.3, Problem 33E, Suppose that ABCDEF. Also, AX bisects CAB and DY bisects FDE. Are these corresponding angle

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) ΔABCΔDEF (1) Given
(2) AC¯DF¯, AB¯

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