Chapter 4.CR, Problem 29CR

### 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

# Review Exercises Given: A B C D is a parallelogram D C - ≅ B N - ∠ 3 ≅ ∠ 4 Prove: A B C D is a rhombus

To determine

To Prove:

The provided quadrilateral ABCD is a rhombus.

Explanation

Proof:

Definition:

A rhombus is a parallelogram with two congruent adjacent sides.

Theorem on parallelogram:

The opposite sides of a parallelogram are congruent.

Description:

It is given that ABCD is a parallelogram with DCÂ¯â‰…BNÂ¯ and âˆ 3â‰…âˆ 4.

Since âˆ 3â‰…âˆ 4, âˆ†BCN is an isosceles triangle with BN=BC

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