   Chapter 4.2, Problem 24E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Exercise 19 to 24 , complete each proof. Given: ▱   M N P Q , with T the midpoint of M N ¯ and S the midpoint of Q P ¯ Prove: ∆ Q M S ≅ ∆ N P T and M S P T is a ▱ To determine

To prove:

QMSNPT and MSPT is a

Explanation

Given:

MNPQ, with T the midpoint of MN ¯ and S the midpoint of QP¯

 PROOF Statements Reasons 1. ▱MNPQ, with T the midpoint of MN¯ and Sthe midpoint of QP¯ 1. Given 2. MN¯≅PQ¯, andNP¯≅QM¯ 2. Pairs of opposite sides of a parallelogramare congruent 3. ∠MQS≅∠PNT 3

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