Triangle PQR is transformed to similar triangle P′Q′R′: A coordinate plane is shown. Triangle PQR has vertices P at negative 6 comma 6, Q at negative 6 comma 3, and R at negative 3 comma 3. Triangle P prime Q prime R prime has vertices at P prime negative 2 comma 2, Q prime at negative 2 comma 1, and R prime at negative 1 comma 1. What is the scale factor of dilation? (4 points)

Answer: The scale factor of the dilation is 1/3.

In a dilation, we are multiplying all the points by a constant to get a set of new points. The shapes will be similar.

In this case, we are moving from Point P at (-6, 6) to Point P' at (-2, 3).

So how does the point change. Let's write and solve the following equations.

-6k = -2   or 6k = 2
k = 1/3      k = 1/3

In both cases, the point was multiplied by 1/3. This is true of all the points.