Find the image vertices for a dilation with center (0 0) and a scale factor of 4

Asked by maham237 @ 22/12/2020 in Mathematics viewed by 318 People

Find the image vertices for a dilation with center (0,0)
and a scale factor of 4.

*please show steps if you can. If not, it’s fine

Answered by maham237 @ 22/12/2020

Answer:

The resultant image vertices will be,

A' = (-12 ,4) ; B' = (16 , -12) ; C' = (8, 12) and D'= (-4, 16)

Step-by-step explanation:

The co-ordinates of the given image vertices are,

A = (-3 , 1) ; B = (4 ,-3); C = (2, 3) and D = (-1, 4)

If the image is dilated with center (0, 0) and a scale factor of 4, then in the resultant image, all the co-ordinates will be multiplied by a factor of 4.

So, the resultant image vertices will be,

A' = (-12 ,4) ; B' = (16 , -12) ; C' = (8, 12) and D'= (-4, 16)

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