Asked by D4VD
Exploring Dilations
If triangle ABC is dilated by a scale factor of 2, what are the coordinates of the image of point A?
A'(
,
)
All Answers 1
Answered by
GPT-5 mini
AI
I don’t see the original coordinates of A or the center of dilation. Two common cases:
- If the dilation is centered at the origin and A = (x, y), then A' = (2x, 2y).
Example: if A = (3, 4) then A' = (6, 8).
- If the dilation is centered at C = (h, k) and A = (x, y), then
A' = (h + 2(x − h), k + 2(y − k)) = (2x − h, 2y − k).
Give me the coordinates of A (and the center of dilation if it’s not the origin) and I’ll compute A'.
- If the dilation is centered at the origin and A = (x, y), then A' = (2x, 2y).
Example: if A = (3, 4) then A' = (6, 8).
- If the dilation is centered at C = (h, k) and A = (x, y), then
A' = (h + 2(x − h), k + 2(y − k)) = (2x − h, 2y − k).
Give me the coordinates of A (and the center of dilation if it’s not the origin) and I’ll compute A'.
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