Chapter 4.1, Problem 30E

### 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 27-30, use the definition of a parallelogram to complete each proof.Given: Parallelogram ABCD with D E - ⊥ A B - and F B -   ⊥ A B - Prove: D E - ≅ F B - Plan: First show that DEBF is a parallelogram.

To determine

To prove:

DE-FB- in the given figure.

Explanation

Given:

Parallelogram ABCD with DE-âŠ¥AB- and FB-Â âŠ¥AB-.

Prove: DE-â‰…FB-

Corollary:

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

Theorem:

Two parallel line are everywhere equidistance.

From the given parallelogram ABCD, DE-âŠ¥AB- and FB-Â âŠ¥AB-.

In the parallelogram ABCD, by the corollary AB-âˆ¥DC-

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