   Chapter 4.1, Problem 39E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

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 .a) Are quadrilaterals ABCD and EFGH congruent?b) Are ∠D and ∠H congruent? To determine

a.

To find:

The quadrilaterals ABCD and EFGH congruent or not.

Explanation

Given:

In quadrilaterals ABCD and EFGH, AB-DC-, EF-HG-, AE, and BF.

Definition:

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

To determine

b.

To find:

The angles ∠D and ∠H are congruent or not.

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