Chapter 5.2, Problem 34E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

In the drawing,
*l* and *m* are also parallel. *D* and *C* are the midpoints of
*ABCD* similar to parallelogram *DCFE*?

To determine

**To check:**

Whether the parallelogram *ABCD* is similar to *DCFE* or not

Explanation

**Given:**

In the figure,

*l* and *m*. If *D* and *C* are the midpoints of

**Approach:**

Two trapezoids are similar if and only if two conditions are satisfied:

1. Three or more parallel lines intercept congruent line segments on one transversal.

2. The intercept congruent line segments on any transversal.

**Proof:**

Let us consider the parallelograms, *ABCD* and *DCFE*.

Since

That is, if two or more parallel lines intersect two transversals, *l* and *m*, then the parallel lines cut off the transversals proportionally

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