Chapter 4.1, Problem 40E

### 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 quadrilaterals ABCD and EFGH, A B - ∥ D C - , E F - ∥ H G - , ∠ A ≅ ∠ E , and ∠ B ≅ ∠ F , and A D - ≅ E H - .a) Are quadrilaterals ABCD and EFGH congruent?b) Is diagonal D B - congruent to diagonal E G - ?

To determine

a.

To find:

The quadrilaterals ABCD and EFGH congruent.

Explanation

Given:

In quadrilaterals ABCD and EFGH, AB-âˆ¥DC-, EF-âˆ¥HG-, âˆ Aâ‰…âˆ E, and âˆ Bâ‰…âˆ F, and

Definition:

If quadrilateral ABCD is congruent to quadrilateral EFGH, then all corresponding pairs of angles (âˆ A and âˆ E ) must be congruent, as the pair of corresponding (AB- and EF-) are congruent

To determine

b.

To find:

The diagonal DB- congruent to diagonal EG- or not.

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