Question

Triangle PQR is transformed to similar triangle P’Q’R’:

A coordinate plane is shown. Triangle ABC has vertices A at 2 comma 6, B at 2 comma 4, and C at 4 comma 4. Triangle A prime B prime C prime has vertices A prime at 1 comma 3, B prime at 1 comma 2, and C prime at 2 comma 2.

What is the scale factor of dilation?

1 over 2
1 over 3
1 over 4
1 over 5

Answer 1

The scale factor of the dilation is 1 over 2. Why? Well, going from A to A prime is a reduction of 1/2, going from B to B prime is a reduction of 1/2, and going from C to C prime is a reduction of 1/2. The figure is dilated, meaning it is shrunk rather than the shape and orientation being changed.