Questions: 1. Are these shapes similar? If yes, identify the scale factor. If not, explain how you know. Assume that all shapes are symmetrical. 2. Add to the set of triangles by providing their new dimensions.

1. Are these shapes similar? If yes, identify the scale factor. If not, explain how you know. Assume that all shapes are symmetrical. 2. Add to the set of triangles by providing their new dimensions.
Transcript text: 1. Are these shapes similar? If yes, identify the scale factor. If not, explain how you know. Assume that all shapes are symmetrical. 2. Add to the set of triangles by providing their new dimensions.
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Solution

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Solution Steps

Step 1: Identify the given dimensions
  • For the first shape: 16 and 9.
  • For the second shape: 15 and 20.
Step 2: Compare the ratios of corresponding sides
  • Calculate the ratio of the sides of the first shape: \( \frac{16}{9} \).
  • Calculate the ratio of the sides of the second shape: \( \frac{15}{20} = \frac{3}{4} \).
Step 3: Determine if the shapes are similar
  • Compare the ratios: \( \frac{16}{9} \neq \frac{3}{4} \).
  • Since the ratios are not equal, the shapes are not similar.

Final Answer

The shapes are not similar because the ratios of their corresponding sides are not equal.

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