Question

AXYZ is dilated so that the length of side Y'Z' is 9 units. What is the scale factor?

a) 1.5
b) 2
c) 3
d) 4

Answer 1

The scale factor can be found by dividing the length of the corresponding sides of the original and dilated figures. In this case, the length of side Y'Z' is 9 units, so the scale factor is 9 and the correct answer is D) 4.

Step-by-step explanation:

The scale factor can be found by dividing the length of the corresponding sides of the original and dilated figures. In this case, the length of side Y'Z' is 9 units, so we can set up the proportion:

Scale factor = Length of side Y'Z' / Length of corresponding side in original figure

Let's call the length of side YZ in the original figure 'x'. The proportion becomes:

Scale factor = 9 / x

To solve for 'x', we can cross-multiply and solve the resulting equation:

9x = x

The 'x' cancels out, leaving us with:

9 = 1

Therefore, the scale factor is 9 and the correct answer is D) 4.