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Home > MC2 > Chapter 9 > Lesson 9.2.1 > Problem 9-42

9-42.
  1. In the polygons below, all corresponding angles are the same and the side lengths are as shown. Homework Help ✎

    1. Find the ratios of the corresponding sides.

    2. Are the two figures similar?

    3. What is the special name for similar figures with a scale factor of ?

    4. What does this tell you about the side lengths and the angles of the two shapes?

Since all corresponding angles are the same, the shape must be similar. Find the corresponding matching sides of the shape and compare the side lengths. What do you see?

The ratio is 1:1

Similar shapes have the same angle measures and proportionate sides.

Congruent

Are the side lengths and angle measures for both shapes the same?