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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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Given:   1 2 .

Prove: A B A C = B E C D

Chapter 5.CR, Problem 18CR, Given:12. Prove: ABAC=BECD

To determine

To prove:

ABAC=BECD

Explanation

Given:

12 and

Calculation:

By definition of alternate angles “a pair of angles on the inner side of each of two lines but on opposite sides of the traversal”.

Here, the alternate interior angles are CDE and 2

That is

Then by the theorem,

“If a line is parallel to one side of a triangle and intersects the other two sides, then it divides the sides proportionally”

In the above given figure, ΔACD with BE

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