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 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 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 smaller than 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 smaller than 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 as large as triangle ABC
and is 5 times closer to the center point of dilation

Answer 1

The correct response to describe 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.

When a triangle is dilated from a point (in this case, the origin) with a scale factor of 5, each vertex of the triangle will move to a position that is 5 times further away from the center of dilation, resulting in a triangle that is also 5 times larger in size.