Question

Describe the dilation of triangle ABC
, with a scale factor of 5 and a center point of dilation at the origin (0, 0)
. (1 point)
Responses

Triangle A′B′C′
is 5 times as large as triangle ABC
and is 5 times closer to the center point of dilation.
Triangle upper A prime upper B prime upper C prime is 5 times as large as triangle upper A upper B upper C and is 5 times closer to the center point of dilation.

Triangle A′B′C′
is 5 times smaller than triangle ABC
and is 5 times closer to the center point of dilation.
Triangle upper A prime upper B prime upper C prime is 5 times smaller than triangle upper A upper B upper C and is 5 times closer to the center point of dilation.

Triangle A′B′C′
is 5 times as large as triangle ABC
and is 5 times as far from the center point of dilation.
Triangle upper A prime upper B prime upper C prime is 5 times as large as triangle upper A upper B upper C and is 5 times as far from the center point of dilation.

Triangle A′B′C′
is 5 times smaller than triangle ABC
and is 5 times as far from the center point of dilation.

Answer 1

Correct choice: "Triangle A′B′C′ is 5 times as large as triangle ABC and is 5 times as far from the center point of dilation."

Reason: a dilation with scale factor 5 multiplies all distances from the center by 5 (so coordinates and side lengths are 5 times larger), moving each vertex 5 times farther from the origin.