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TI-Nspire™ CAS

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3.2

: Corresponding Parts of Similar Triangles
by Texas Instruments

Published on August 30, 2011

#### Objectives

• Students will identify corresponding parts of similar triangles.
• Students will use the ratio of similarity to find missing measures in similar triangles.
• Students will relate the ratio of similarity to reductions and enlargements.

#### Vocabulary

• scale factor (ratio of similarity)
• corresponding parts
• reduction
• enlargement
• coincide; coincidental

#### About the Lesson

This lesson involves manipulating the scale factor (r) and observing changes in similar triangles; changing the ratio of similarity; and matching corresponding parts of similar triangles. As a result students will:

• Produce reductions, enlargements, and congruent figures.
• Compare corresponding angles and corresponding sides to be compared.
• Infer the relationship between ratio of similarity (scale factor) and the measures of the sides.