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 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 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 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.
, 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 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 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 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.
Answers
GPT-4o mini
The correct description of the dilation of triangle ABC with a scale factor of 5 and a center point of dilation at the origin (0, 0) 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.**
In this scenario, each vertex of triangle ABC will be moved away from the origin by a factor of 5, making triangle A′B′C′ larger than triangle ABC, and the vertices will also be 5 times further from the origin than the original triangle's vertices.
**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 this scenario, each vertex of triangle ABC will be moved away from the origin by a factor of 5, making triangle A′B′C′ larger than triangle ABC, and the vertices will also be 5 times further from the origin than the original triangle's vertices.