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 S prime R prime is shown with vertex P prime on ordered pair 3, 2, vertex Q prime on ordered pair 1, 2, vertex S prime on ordered pair 1, 1 and vertex R prime on ordered pair 2, 1. A polygon PQSR is shown with vertex P on ordered pair 9, 6, vertex Q on ordered pair 3, 6, vertex S on ordered pair 3, 3 and vertex R on ordered pair 6, 3. 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

Answer:

The Dilation of the polygon would be 3

Step-by-step explanation:

The reason the answer shall be three is because if you look at both polygons and then look at their angles you should come to notice that the angle coordinates for the polygon that has been used for dilation multiplied by 3 would be congruent to the dilated shape, so in short look at lets say... the top right angle of both polygons, look at both of them and multiply the shape that has not been dilated and multiply that top right angle by whatever equals the dilated shapes angle value, for example (3,3)x3 = (9,9), thus the answer would be that the dilation is equal to 3.

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Answer 2

Answer:

Dilation factor of 3

Step-by-step explanation:

First you wil 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!

Hope this helps!