Question
AB is dilated by a scale factor of 4, with a center of dilation at A. If A is at point (2,4) and B is at point (5,3), where would A' be located?(1 point) Responses (20,12) (20,12) (8,16) (8,16) (2,4) (2,4) (-0.5,1)
Answers
GPT-4o mini
To find the location of point \( A' \) after dilation, we need to apply the scale factor of 4 to point A, using point A as the center of dilation.
Given:
- Point A (the center of dilation): \( (2, 4) \)
- Scale factor: 4
Since \( A \) is the center of dilation, the point \( A' \) will remain the same as point \( A \) because the dilation of a point at the center of dilation does not change its position.
Therefore, point \( A' \) is located at:
\[
A' = (2, 4)
\]
The correct response is \( (2, 4) \).
Given:
- Point A (the center of dilation): \( (2, 4) \)
- Scale factor: 4
Since \( A \) is the center of dilation, the point \( A' \) will remain the same as point \( A \) because the dilation of a point at the center of dilation does not change its position.
Therefore, point \( A' \) is located at:
\[
A' = (2, 4)
\]
The correct response is \( (2, 4) \).