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)

Question

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 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.

Answer 1

When a triangle, such as triangle ABC, is dilated using a scale factor of 5 from the center point of dilation at the origin (0, 0), every point of the triangle moves away from the origin and becomes further from it. Specifically, the coordinates of each vertex of the triangle are multiplied by the scale factor of 5.

Thus, the newly formed triangle A′B′C′ will indeed be 5 times larger than triangle ABC. Additionally, since the scale factor is greater than 1 (specifically 5), triangle A′B′C′ will be 5 times as far from the center point of dilation (the origin).

Based on this interpretation, the correct description 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.