Chapter 5.2, Problem 8E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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Given that rectangle

To determine

**To find:** What can you conclude regarding pentagon *ABCDE* and pentagon *MNPQR*.

Explanation

**Given:**

The rectangle *ABCE* is similar to rectangle *MNPR* and

**Definition used:**

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

1. All pairs of corresponding angles are congruent.

2. All pairs of corresponding sides are proportional.

**Calculation:**

We have

Thus the corresponding angles are congruent and the corresponding sides are proportional.

That is

Also we have rectangle *ABCE* is similar to rectangle *MNPR*.

Thus the corresponding angles are congruent and the corresponding sides are proportional.

That is,

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