   Chapter 4.2, Problem 24E ### 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
1 views

# 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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