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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:

“The diagonals of an isosceles trapezoid are congruent.”

Given: Trapezoid ABCD; A B ¯ D C ¯ and A D ¯ B C ¯ .

Prove: A C ¯ B D ¯

Chapter 4.CT, Problem 16CT, Complete the proof of the following theorem: The diagonals of an isosceles trapezoid are congruent.

PROOF
Statements Reasons
1_________
2. A D C B C D

3. D C ¯ D C ¯
4. Δ A D C Δ B C D
5.__________
1.______________
2. Base s of an isosceles trapezoid are _______.
3._________
4.____________
5. CPCTC

To determine

To Find:

The proof of AC¯BD¯.

Explanation

Given:

Trapezoid ABCD with AB¯DC¯ and AD¯BC¯.

Approach:

Consider the theorem,

“The diagonals of an isosceles trapezoid are congruent.”

PROOF
Statements Reasons
1. Trapezoid ABCD with
AB¯DC¯and AD¯BC¯
2. ADCBCD

3. DC¯DC¯
4. ΔADCΔBCD
5. AC¯DB¯
1

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