Question

If ABCD is dilated by a factor of, thecoordinate of C' would be:

Answer 1

Recall that a dilation by a factor of k, transforms the point (x,y) as follows:

`(x,y)\rightarrow(kx,ky).`

Now, the coordinates of point C are:

`C=(2,4).`

Therefore, after the dilation, the coordinates of C' are:

`C^(\prime)=((1)/(2)(2),(1)/(2)(4)).`

Simplifying the above result, you get:

`C^(\prime)=(1,2).`

Answer:

`C^(\prime)=(1,2).`