Question

Which transformation was performed on PQRS to form P'QʻR'S'? (1 point)

1) A dilation factor of 2
2) A dilation factor of 4
3) A dilation factor of 1/2
4) A dilation factor of 1/4

Answer 1

Given:

A transformation was performed on PQRS to form P'QʻR'S'.

To find:

The transformation.

Solution:

The given graph shows two similar polygons. It means, dilation was performed.

From the given graph it is clear that,

`PS=2` units

`P'S'=1` units

Now,

`\text{Scale factor}=(P'S')/(PS)`

`\text{Scale factor}=(1)/(2)`

A dilation factor of
`(1)/(2)` was performed on PQRS to form P'QʻR'S'.

Therefore, the correct option is (3).