Question

What is the scale factor of the enlargement of shape A to shape B?

Answer 1

3 units

Step-by-step explanation:

Given: Two shapes A and B

Required to find: The scale factor

Step-by-step explanation:

STEP 1: Define Dilation

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape.

To dilate the figure by a factor of 2, I will multiply the x and y-value of each point by 2.

STEP 2: We then check for the length of the sides.

For shape A:

Lengths are given as 3 by 1 by 2 units

For shape B:

lengths are given as 9 by 3 by 6 units.

STEP 3: Divide the lengths of Shape B by Shape A.

`(9)/(3) = (3)/(1 ) = (6)/(2) = 3 units`

ANSWER:

3 units