Chapter 4.1, Problem 29E

### 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 27 to 30, use the definition of a parallelogram to complete each proof.Given: Parallelogram RSTV; also X Y - ∥ V T - Prove: ∠ 1 ≅   ∠ S Plan: First show that RSYX is a parallelogram.

To determine

To prove:

1 S in the given figure.

Explanation

Given:

Parallelogram RSTV; also XY-âˆ¥VT-.

Corollary:

1. A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel.

2. Opposite angles of a parallelogram are congruent.

Approach:

From the given parallelogram RSTV, and XY-âˆ¥VT-.

Here RS-âˆ¥VT- and XY-âˆ¥VT

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