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 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 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 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 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.

Answer 1

For a dilation of triangle ABC with a scale factor of 5 and a center point of dilation at the origin (0, 0), the following statement is true:

**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, the scale factor indicates how much larger or smaller the resulting shape will be relative to the original shape. Since the scale factor is greater than 1 (in this case, 5), it means the new triangle A'B'C' will be 5 times larger than triangle ABC. Additionally, because the center of dilation is at the origin, the vertices of the new triangle will be 5 times further from the origin than the original triangle's vertices.