The image of the dilations are
- A' = (0, -8) B' = (0, -14) C' = (-5, -14)
- A' = (-4, 8) B' = (0, 5)
How to dilate the points about the origin?
Set of points 1
The points are given as:
A = (0, -8)
B = (0, -14)
C = (-5, -14)
The scale factor of dilation is given as:
k = 1
So, we have:
(x, y)' = k * (x, y)
This gives
(x, y)' = 1 * (x, y)
Evaluate
(x, y)' = (x, y)
So, the image of the dilations are
A' = (0, -8)
B' = (0, -14)
C' = (-5, -14)
Set of points 2
The points are given as:
A = (-8, 16)
B = (0, 10)
The scale factor of dilation is given as:
k = 0.5
So, we have:
(x, y)' = k * (x, y)
This gives
(x, y)' = 0.5 * (x, y)
Evaluate
(x, y)' = (x, y)
So, the image of the dilations are
A' = (-4, 8)
B' = (0, 5)
Read more about dilations at:
https://brainly.com/question/10253650
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