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 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 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 as far from the center point of dilation.

Answer 1

To describe the dilation of triangle ABC with a scale factor of 5 and a center point of dilation at the origin (0, 0), we can analyze what happens to the triangle.

1. Scale Factor: A scale factor of 5 means that every point of triangle ABC will be moved away from the center of dilation (the origin) by a distance that is 5 times that of its original position.

2. Size: Since the scale factor is greater than 1 (specifically, 5), triangle A′B′C′ will be larger than triangle ABC.

3. Distance from the Center: The vertices of triangle A′B′C′ will be 5 times farther from the center of dilation than the vertices of triangle ABC.

Based on this understanding, the correct description would be:

Triangle A′B′C′ is 5 times as large as triangle ABC and is 5 times as far from the center point of dilation.