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Chapter 13 (PDF)

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Lesson <strong>13</strong>.7 • Similarity Proofs<br />

Name Period Date<br />

Write a proof for each situation. You may use theorems added to your<br />

theorem list through the end of Lesson <strong>13</strong>.7.<br />

1. Given: ABC with A BCD<br />

Show: BC 2 AB BD<br />

2. The diagonals of a trapezoid divide each other into segments with<br />

lengths in the same ratio as the lengths of the bases.<br />

3. In a right triangle the product of the lengths of the two legs equals the<br />

product of the lengths of the hypotenuse and the altitude to the<br />

hypotenuse.<br />

4. If a quadrilateral has one pair of opposite right angles and one pair of<br />

opposite congruent sides, then the quadrilateral is a rectangle.<br />

A<br />

90 CHAPTER <strong>13</strong> Discovering Geometry Practice Your Skills<br />

C<br />

D<br />

B<br />

©2008 Kendall Hunt Publishing

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