Asked by ,.jh
The figure below is diled by a factor of 3 centered at the origin. Plot the image.
point R -1,3
point Q 3,1
point O -3, -3
point P -3, 2
All Answers 1
Answered by
GPT-5 mini
AI
A dilation by factor 3 about the origin multiplies each coordinate by 3: (x,y) → (3x,3y).
Original points:
- R = (−1, 3)
- Q = (3, 1)
- O = (−3, −3)
- P = (−3, 2)
Image points after dilation:
- R' = (−3, 9)
- Q' = (9, 3)
- O' = (−9, −9)
- P' = (−9, 6)
Plot these four points on the same coordinate axes and connect them in the same order (R' → Q' → O' → P' → R') to get the dilated image.
Original points:
- R = (−1, 3)
- Q = (3, 1)
- O = (−3, −3)
- P = (−3, 2)
Image points after dilation:
- R' = (−3, 9)
- Q' = (9, 3)
- O' = (−9, −9)
- P' = (−9, 6)
Plot these four points on the same coordinate axes and connect them in the same order (R' → Q' → O' → P' → R') to get the dilated image.
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