Question

Which scale factor will produce an expansion?
7/8
8/7
0.78
0.87

A dilation has a scale factor -2/3. What kind of result does the dilation have?
Opposite-side expansion
Opposite-side contraction
Same-side expansion
Same-side contraction

Dilate the point A(-7, 4) by a scale factor of 2. Where is A' located ?
(-9,6)
(14,8)
(-14,8)
(-5,6)

Under a dilation, point A(-6,2) is moved to A'(9,-3). What is the scale factor?
-2/3
-3/2
3/2
2/3

Answer 1

1. An expansion is produced if the dilation factor is > 1. The value that's greater than 1 is 8/7 so your answer is D.

2. This is an opposite side contraction as the factor is < 1 and it has a negative sign in front of it. So, your answer is A.

3. Basically, you just multiply everything by 2. So, it would be (-14, 8). Your answer is C.

4. The answer is -3.2 because the signs flipped (so it's negative) and magnitude increases (so it's > 1). Only B fits, so that's the answer.