Chapter 4.2, Problem 24E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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:

â–±Â MNPQ, with T the midpoint of MNÂ Â¯ and S the midpoint of QPÂ¯

 PROOF Statements Reasons 1. â–±MNPQ, with T the midpoint of MNÂ¯ and Sthe midpoint of QPÂ¯ 1. Given 2. MNÂ¯â‰…PQÂ¯, andNPÂ¯â‰…QMÂ¯ 2. Pairs of opposite sides of a parallelogramare congruent 3. âˆ MQSâ‰…âˆ PNT 3

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