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.
a to c
b to a
b to b
c to a
drag & drop the answer
scale factor greater than 1 | scale factor less than 1 | scale factor is 1

Explanation:

Step1: Recall dilation rules

If the image is larger than the pre - image, scale factor > 1. If smaller, scale factor < 1. If same size, scale factor = 1.

Step2: Analyze A to C

Trapezoid C is larger than trapezoid A. So the scale factor from A to C is greater than 1.

Step3: Analyze B to A

Trapezoid A is smaller than trapezoid B. So the scale factor from B to A is less than 1.

Step4: Analyze B to B

Dilating a figure onto itself has a scale factor of 1.

Step5: Analyze C to A

Trapezoid A is smaller than trapezoid C. So the scale factor from C to A 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