Chapter 4.2, Problem 21E

### 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 Exercises 19 to 24 , complete each proof. Given: M - Q - T and P - Q - R such that M N P Q and Q R S T are ▱ s Prove: ∠ N ≅ ∠ S

To determine

To prove:

NS

Explanation

Given,

Given: M-Q-T and P-Q-R such that MNPQ and QRST are â–±s.

Prove: âˆ Nâ‰…âˆ S

 PROOF Statements Reasons 1. MNPQ and QRST are â–±s. 1. Given 2. âˆ MQPâ‰…âˆ RQT 2. Vertical angles are equal 3. âˆ MQPâ‰…âˆ MNPâˆ RQTâ‰…âˆ RST 3. Both pairs of opposite angles are congruent in a parallelogram 4. âˆ MNPâ‰…âˆ RSTOr âˆ Nâ‰…âˆ S 4

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