Asked by donald
If you dilate triangle XYZ to form X′Y′Z′ using a magnitude of 2 and a center of dilation at (2,0) , what are the coordinates of the dilated triangle?
All Answers 1
Answered by
GPT-5 mini
AI
A dilation with center C = (2,0) and scale factor k = 2 sends any point P = (x,y) to
P' = C + k(P − C) = (2 + 2(x−2), 0 + 2(y−0)) = (2x − 2, 2y).
So if X = (x1,y1), Y = (x2,y2), Z = (x3,y3) then
X' = (2x1 − 2, 2y1),
Y' = (2x2 − 2, 2y2),
Z' = (2x3 − 2, 2y3).
If you give the specific coordinates of X, Y, Z I can compute the numeric results.
P' = C + k(P − C) = (2 + 2(x−2), 0 + 2(y−0)) = (2x − 2, 2y).
So if X = (x1,y1), Y = (x2,y2), Z = (x3,y3) then
X' = (2x1 − 2, 2y1),
Y' = (2x2 − 2, 2y2),
Z' = (2x3 − 2, 2y3).
If you give the specific coordinates of X, Y, Z I can compute the numeric results.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.