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 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. 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. 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 smaller than triangle ABC and is 5 times closer to the center point of dilation.

Question

GPT-4o mini · Answer

In a dilation, the size of a figure changes according to the scale factor, while the shape remains the same. Given a triangle ABC that is dilated with a scale factor of 5, centered at the origin (0, 0), the vertices of the triangle A, B, and C will be moved 5 times farther from the center of dilation (the origin) to create the new triangle A'B'C'.

Thus, the correct description of the dilation is:

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

This means that the new triangle A'B'C' will be larger than triangle ABC and will be positioned away from the origin by a factor of 5 compared to the original triangle.