Question

Question

Describe the dilation of triangle ABC
A
B
C
, with a scale factor of 5 and a center point of dilation at the origin (0, 0)
(
0
,

0
)
. (1 point)
Responses

Triangle A′B′C′
A
′
B
′
C
′
is 5 times as large as triangle ABC
A
B
C
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′
A
′
B
′
C
′
is 5 times as large as triangle ABC
A
B
C
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′
A
′
B
′
C
′
is 5 times smaller than triangle ABC
A
B
C
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′
A
′
B
′
C
′
is 5 times smaller than triangle ABC
A
B
C
and is 5 times closer to the center point of dilation.

Answer 1

When a triangle undergoes dilation with a scale factor of 5 and a center point of dilation at the origin (0, 0), the resulting triangle \( A'B'C' \) will be 5 times larger than triangle \( ABC \). Additionally, each vertex of triangle \( A'B'C' \) will be located 5 times further from the center point of dilation compared to the corresponding vertex of triangle \( ABC \).

Therefore, the correct description of the dilation 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.