   Chapter 3.2, Problem 8E ### 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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# In Exercise 5 to 12, plan and write the two-column proof for each problem. Given: M N ¯ ∥ Q R ¯ M N ¯ ≅ Q R ¯ Prove: Δ M N P ≅ Δ R Q P

To determine

To prove:

The given statement.

Explanation

Given:

The following figure shows the given diagram.

Given that,

MN¯QR¯

MN¯QR¯

By definition of ASA, if two angles and their included side of one triangle is congruent to two angles and their included side of second triangle, then triangle will be congruent.

Approach:

The completed proof is shown in the following table.

 Proof Statements Reasons 1. MN¯∥QR¯MN¯≅QR¯ 1. Given 2. ∠M≅∠N and ∠N≅∠Q 2

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