Question

The coordinates of △ABC are A(12,8), B(10,18), C(4,16) . After a dilation, the coordinates are A'(6,4), B'(5,9), C'(2,8) A′(6,4), B′(5,9), C′(2,8) . Find the scale factor.

Answer 1

Hello!

Let's look at A and A'. This is (12,8) and (6,4). As you can see, each value in A' is 1/2 of that in A. In all the other points, their dilated point is 1/2 the original.

Therefore, our scale factor is 1/2.

I hope this helps!

Answer 2

Take note of that every single coordinate had their values divided by 2 after the dilation. Therefore, the scaling factor is 1/2, or .5