Chapter 5.3, Problem 36E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

Provide a paragraph proof for the following problem.

*Given:*

*Prove: *

To determine

**To prove:**

The statement *RS *and *YZ* are parallel, *RU *and *XZ* are parallel,

Explanation

**Definition:**

*AA*:

If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

**CSSTP:**

Corresponding sides of similar triangles are proportional.

**Description:**

Given that

The given figure is shown below.

Figure

From the given figure, it is observed that the sides *RS *and *YZ* are parallel,

If two parallel lines are cut by a transversal, then the alternate interior angles are congruent.

Therefore,

From the given figure, it is also observed that the sides *RU *and *XZ* are parallel,

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