Question

describing a similarity transformation the red figure is similar to the blue figure. describe a similarity transformation between the figures. 10. 11.

Explanation:

Step1: Analyze the transformation for problem 10

First, observe the orientation. The red figure is a rotated version of the blue figure. Then, check the side - length ratio. The blue parallelogram has side - lengths that are twice as long as the red parallelogram.

• Rotate the blue figure \(90^{\circ}\) clockwise about the origin.
• Then, perform a dilation with a scale factor of \(\frac{1}{2}\).

Step2: Analyze the transformation for problem 11

Check the orientation and the position. The red figure is a translated and dilated version of the blue figure.

• Translate the blue figure \(3\) units down.
• Then, perform a dilation with a scale factor of \(\frac{1}{2}\).

Answer:

1. Rotate the blue parallelogram \(90^{\circ}\) clockwise about the origin and then dilate it by a scale factor of \(\frac{1}{2}\).
2. Translate the blue triangle \(3\) units down and then dilate it by a scale factor of \(\frac{1}{2}\).