Question

Two similar polygons are shown below:

A coordinate grid is shown from positive 10 to negative 10 on the x-axis and from positive 10 to negative 10 on the y-axis. A polygon P prime Q prime R prime S prime is shown with vertex P prime on ordered pair 3, 2, vertex Q prime on ordered pair 1, 2, vertex R prime on ordered pair 2, 1 and vertex S prime on ordered pair 1, 1. A polygon PQRS is shown with vertex P on ordered pair 9, 6, vertex Q on ordered pair 3, 6, vertex R on ordered pair 6, 3 and vertex S on ordered pair 3, 3.

Which set of transformations was performed on PQRS to form P′Q′R′S′?

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

ANSWER -Dillion factor 3

Explainion- :)

Answer 2

Dilation factor of 3

Explanation:

First you will want to find out the the coordinates for each of the shapes:

Regular:

P =9,6

Q =3,6

R =6,3

S =3,3

Prime notation:

P' =3,2

Q' =1,2

R' =2,1

S' =1,1

Then using great old common sense in the picture you will see 3 units go down to 1 unit which will indicate Dilation factor of 3 as the answer!