Question

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

Answer 1

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

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

Therefore, we get

$D.F.=\dfrac{Q'S'}{QS}=\dfrac{1}{3}.$

Thus, the required dilation factor is 1 over 3.

Option (B) is CORRECT.

Answer 2

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

Choice B.