Chapter 3.3, Problem 39E

### Elementary Geometry for College St...

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

Chapter
Section

### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# In Exercises 37 to 39, complete each proof.Given: Isosceles Î” M N P with vertex PIsosceles Î” M N Q with vertex Q Prove: Î” M Q P â‰… Î” N Q P

To determine

To prove:

ΔMQP is congruent to ΔNQP.

Explanation

Given:

Isosceles Î”MNP with vertex P and isosceles Î”MNQ with vertex Q are given.

Figure (1)

Properties used:

(1) If three sides of one triangle are congruent to three sides of second triangle, the triangles are congruent (SSS).

(2) In an isosceles triangle two sides are congruent.

Approach:

Consider the given isosceles Î”MNP with vertex P.

Since two sides of isosceles triangle are congruent, therefore MPÂ¯â‰…NPÂ¯ in Î”MNP and MQÂ¯â‰…NQÂ¯ in Î”MNQ

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