Chapter 4.2, Problem 37E

### 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

# 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,

â–±ABCD and â–±EFGH

ABÂ¯â‰…EFÂ¯

BCÂ¯â‰…FG

âˆ D=âˆ H=90Â°â€¦ (1)

Since,

âˆ D=âˆ H=90

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

Thus,

âˆ B=90Â°

âˆ F=90Â°

âˆ B=âˆ F=90Â°â€¦ (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

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started