   Chapter 4.2, Problem 37E 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

Are ▱ A B C D and ▱   E F G H congruent if:a) ∠ D and ∠ H are right angles, A B ¯ ≅ E F ¯ , and B C ¯ ≅ F G ¯ ? b) A B ¯ ≅ E F ¯ and ∠ A ≅ ∠ E ? To determine

a)

Whether  ABCD and  EFGH congruent

Explanation

Given,

ABCD and EFGH

AB¯EF¯

BC¯FG

D=H=90° (1)

Since,

D=H=90

The pairs of the opposite angles of a parallelogram are equal.

Thus,

B=90°

F=90°

B=F=90° (2)

Since, a pair of the opposite angles of the parallelograms are at right angle, the other pair of opposite angles are also at right angle

To determine

b)

Whether ABCD and EFGH are congruent

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