   Chapter 4.CT, Problem 16CT ### Elementary Geometry for College St...

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

#### Solutions

Chapter
Section ### 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 ¯ 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.”

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