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 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 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 as far from the center point of dilation.

Answer 1

The correct response regarding 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 farther from the center point of dilation.

Explanation:

When you apply a dilation with a scale factor greater than 1, the shape becomes larger. In this case, a scale factor of 5 means that each side of triangle ABC is multiplied by 5, resulting in triangle A′B′C′ being 5 times larger. Also, since the triangle is dilated from the origin, the new triangle will be positioned farther away from the origin by a factor of 5 as well.