   Chapter 5.CR, Problem 29CR 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

Prove that the diagonals of a trapezoid divide themselves proportionally.

To determine

To prove:

The diagonals of a trapezoid divide themselves proportionally.

Explanation

Let us take ABCD be a trapezoid.

Construct EF||BA||CD intersecting AD in F.

Then,

By basic proportionality theorem,” If a line drawn parallel to one side of a triangle intersecting other two sides, then it divides the two sides in the same ratio”

Given, FE||AB and FE||DC

DEEB=DFFA

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