Question

PLS SOMEONE HELP ME PLS!•A figure is dilated by a scale factor of 4. Which of the following is true about the figure and its dilation? A. The perimeter of the image is 4 times as large as the perimeter of the pre-image.B The perimeter of the image is 8 times as large as the perimeter of the pre-image.C The perimeter of the image is 16 times as large as the perimeter of the pre-image.D The perimeter of the image is the same as the perimeter of the pre-image.

Answer 1

A. The perimeter of the image is 4 times as large as the perimeter of the pre-image.

Step-by-step explanation:

To answer this question, we use an example.

Given the pre-image:

• A square with side length 1 cm

,

• Perimeter = 4 x 1 = 4cm

If the square is dilated by a scale factor of 4:

• Side length = 4cm

,

• Perimeter = 4 x 4 =16cm

We see therefore that 'The perimeter of the image is 4 times as large as the perimeter of the pre-image.'

The correct choice is A.