Question

If the following triangle is dilated by a scale factor of 2 about point P, what is the dilated point A'?

(-6,4)
(0,-6)
(-6,0)
(-4,0)

Answer 1

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Explanation:

Answer 2

(-6,0)

Explanation:

Let the coordinate of dilated point A' be (a,b).

Then the relationship between the scale factor, the center of dilation and the the point of dilation and the dilated point is:

A'+P=2A

We substitute the point:

`(a,b)+(0,4)=(2*-3,2*2)`

This implies that:

`(a+0,b+4)=(-6,4)`

This implies that:

`a=-6,b=4-4=0`

Therefore A' has coordinates (-6,0)