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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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Assuming that m B >   m A in Chapter 4.1, Problem 15E, Assuming that mBmA in , which diagonal AC-orBD- would be longer? , example  1, which diagonal ( A C -   o r   B D - ) would be longer?

Chapter 4.1, Problem 15E, Assuming that mBmA in , which diagonal AC-orBD- would be longer? , example  2

To determine

To describe:

The longer diagonal between AC- or BD- in ABCD.

Explanation

Given:

Assuming that mB> mA in ABCD and the diagram as shown below.

Corollary:

1. The opposite angles of a parallelogram are congruent.

2. Two consecutive angles of a parallelogram are supplementary.

Approach:

In the given parallelogram ABCD, given that mB> mA.

As per the corollary that the opposite angles of a parallelogram are congruent, mA=mC

and mB=mD.

Join the diagonals AC- or BD-

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