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)
1 over 2
1 over 3
1 over 4
1 over 5
To find the scale factor of dilation, we can compare the corresponding sides of the two triangles and determine their ratios.
The length of side PQ in triangle PQR is 6 - 3 = 3.
The length of side P'Q' in triangle P'Q'R' is 2 - 1 = 1.
Therefore, the ratio of the length of side PQ to the length of side P'Q' is 3/1 = 3.
The scale factor of dilation is the reciprocal of this ratio, so it is 1/3.
Therefore, the scale factor of dilation is 1/3.