Question

the trapezoids are dilations using the center of dilation, point p. tell whether the scale factor is greater than, less than or equal to one for each dilation. drag & drop the answer a to c b to a b to b c to a scale factor greater than 1 scale factor less than 1 scale factor is 1

Explanation:

Step1: Analyze A to C

When dilating from A to C, the image (C) is larger than the pre - image (A). So the scale factor (ratio of corresponding side lengths of image to pre - image) is greater than 1.

Step2: Analyze B to A

When dilating from B to A, the image (A) is smaller than the pre - image (B). So the scale factor is less than 1.

Step3: Analyze B to B

When dilating a figure to itself, the scale factor is 1 (since the corresponding side lengths are equal, ratio is 1).

Step4: Analyze C to A

When dilating from C to A, the image (A) is smaller than the pre - image (C). So the scale factor is less than 1.

Answer:

• A to C: Scale factor greater than 1
• B to A: Scale factor less than 1
• B to B: Scale factor is 1
• C to A: Scale factor less than 1