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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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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

Chapter 4.CT, Problem 15CT, Complete the proof of the following theorem: In a kite, one pair of opposite angles are congruent.

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. Identity
4.____________
5._________________

To determine

To Find:

The proof of BD

Explanation

Given:

Kite ABCD,

AB¯AD¯and BC¯DC¯,

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. ΔACDΔACB
5

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