Question

A triangle has the following vertices (-1,1), (6,-2)and (3,5) if the scale factor of 3, what will be the vertices of the image

a.(-3,3), (18,-6), (9,15)
b. (3,3), (18,6), (9,15)
c.(-3,3), (18,6),(9,15)
d.(3,3), (18,-6), (9,15)​

Answer 1

a. (-3,3), (18,-6), (9,15)

Explanation:

If the scale factor is 3 and dilation is about the origin, each of the coordinates of the pre-image is multiplied by 3 to get the coordinates of the image.

Multiplying (-1, 1) by 3 gives (-3, 3), which matches choices A and C.

Multiplying (6, -2) by 3 gives (18, -6) which matches choices A and D.

The only viable choice is choice A.