Question

Rectangle BCDE is shown on the coordinate grid. Rectangle BCDE is dilated with the origin as the center of dilation using the rule (x, y) → (3x, 3y) to create rectangle B'C'D'E'. Which statement is true?

A) Rectangle B'C'D'E' is larger than rectangle BCDE, because the scale factor is greater than 1.

B) Rectangle B'C'D'E' is smaller than rectangle BCDE, because the scale factor is less than 1.

C) Rectangle B'C'D'E' is smaller than the rectangle BCDE, because the scale factor is greater than 1.

D) Rectangle B'C'D'E' is larger than rectangle BCDE, because the scale factor is less than 1.

Answer 1

its A

Explanation:

Answer 2

Answer: Choice A) Rectangle B'C'D'E' is larger because scale factor is greater than 1.

Going from (x,y) to (3x,3y) means we multiply each coordinate by 3. This is the scale factor. The scale factor being larger than 1 means the new image is an enlargement compared to the original preimage. Specifically the dimensions of the new rectangle are 3 times larger.