   Chapter 4.CT, Problem 15CT 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

Complete the proof of the following theorem:“In a kite, one pair of opposite angles are congruent.”Given: Kite ABCD; A B ¯ ≅ A D ¯   and  B C ¯ ≅ D C ¯ Prove: ∠ B ≅ ∠ D PROOF Statements Reasons 1_________2. Draw A C ¯ 3.__________4. Δ A C D ≅ Δ A C B 5.__________ 1.______________2. Through two points, there is exactly one line.3. Identity4.____________5._________________

To determine

To Find:

The proof of BD

Explanation

Given:

Kite ABCD,

Approach:

Consider the theorem,

“In a kite, one pair of opposite angles are congruent.”

 PROOF Statements Reasons 1. AB¯≅AD¯ and BC¯≅DC¯2. Draw AC¯3. AC¯≅AC¯4. ΔACD≅ΔACB5

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