Question

describing sequences of transformations involving dilations

for each pair of figures, describe a sequence of three or fewer transformations that can be used to map one figure onto the other.

Explanation:

Step1: Analyze figure 1

For figures A and B: First, rotate figure A 180 - degrees about the origin. Then, dilate it by a scale - factor greater than 1 to match the size of B.

Step2: Analyze figure 2

For figures C and D: First, translate figure C horizontally to the left to align with the x - coordinate of D. Then, dilate it by a scale - factor greater than 1 to match the size of D.

Step3: Analyze figure 3

For figures G and F: First, dilate figure G by a scale - factor greater than 1. Then, translate it to the right and up to match the position of F.

Step4: Analyze figure 4

For figures J and K: First, rotate figure J 90 - degrees clockwise about the origin. Then, dilate it by a scale - factor greater than 1 and translate it to the right and down to match the position and size of K.

Answer:

1. Rotate figure A 180 - degrees about the origin, then dilate.
2. Translate figure C horizontally, then dilate.
3. Dilate figure G, then translate.
4. Rotate figure J 90 - degrees clockwise about the origin, then dilate and translate.