Describe the dilation of triangle ABC

Question

, 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 A′B′C′
is 5 times smaller than triangle ABC
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 as far from 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.

Answer 1

The correct description of the dilation of triangle ABC with a scale factor of 5 and a center point of dilation at the origin (0, 0) is:

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

In a dilation with a scale factor greater than 1, the size of the figure increases, and the distance from the center of dilation increases proportionally based on the scale factor. Since the scale factor is 5, triangle A′B′C′ is indeed 5 times larger than triangle ABC and 5 times further from the origin.