   Chapter 4.CT, Problem 16CT 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:“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.”

 PROOF Statements Reasons 1. Trapezoid ABCD withAB¯∥DC¯ and AD¯≅BC¯2. ∠ADC≅∠BCD3. DC¯≅DC¯4. ΔADC≅ΔBCD5. AC¯≅DB¯ 1

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

In Exercises 33-38, rewrite the expression using positive exponents only. 37. 120(s + t)3

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Evaluate the limit. limxe2xe2xln(x+1)

Single Variable Calculus: Early Transcendentals, Volume I

Subtract and check: 98,40572,397

Elementary Technical Mathematics

Solve sin2xsinx=0 if 0x2.

Trigonometry (MindTap Course List)

For y = x3 ln x, y = a) x2(1 + 3 ln x) b) x3 + 3x2 (ln x) c) 3x d) 4x2(ln x)

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

True or False: The graph of x = 5 is a cylinder.

Study Guide for Stewart's Multivariable Calculus, 8th 