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 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. 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.

Answer 1

In the dilation of triangle \( ABC \) with a scale factor of 5 and a center point of dilation at the origin (0, 0), triangle \( A'B'C' \) will be 5 times larger than triangle \( ABC \). This means each vertex of the new triangle \( A' \), \( B' \), and \( C' \) will be located 5 times further from the origin compared to the corresponding vertices \( A \), \( B \), and \( C \) of the original triangle.

Thus, the correct response 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.