Question

Which set of transformations was performed on PQSR to form P'Q'S'R'?

A dilation factor of 2

A dilation factor of 1 over 3

A dilation factor of 1 over 2

A dilation factor of 3

Answer 1

The corresponding lengths of the sides of the image are 1/3 of the original so the answer is

Choice B.

Answer 2

Answer: The correct option is

(B) 1 over 3.

Step-by-step explanation: We are given to select the set of transformations that was performed on PQSR to form P'Q'S'R'.

From the figure, we note that

the length of the side QS of quadrilateral PQRS is 3 units and the length of the corresponding dilated dilated quadrilateral P'Q'R'S' is 1 unit.

That is, QS = 3 units and Q'S' = 1 unit.

The dilation factor is given by

`D.F.=\frac{\textup{length of a side of the dilated quadrilateral}}{\textup{length of the corresponding side of the original quadrilateral}}.`

Therefore, we get

`D.F.=(Q'S')/(QS)=(1)/(3).`

Thus, the required dilation factor is 1 over 3.

Option (B) is CORRECT.