Two similar polygons are shown below:

A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A polygon PQRS is shown with vertex P on ordered pair negative 4, negative 2, vertex Q on ordered pair negative 4, negative 6, vertex R on ordered pair negative 2, negative 4 and vertex S on ordered pair negative 2, negative 2. A polygon P prime Q prime R prime S prime is shown with vertex P prime on ordered pair negative 2, negative 1, vertex Q prime on ordered pair negative 2 , negative 3, vertex R prime on ordered pair negative 1, negative 2 and vertex S prime on ordered pair negative 1, negative 1.

Which transformation was performed on PQRS to form P'Q'R'S'?

A dilation factor of 2
A dilation factor of 4
A dilation factor of 1 over 2
A dilation factor of 1 over 4

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Respuesta :

annakessick99 annakessick99 · Answer 1 · 2021-01-04T21:44:29+01:00

Answer:

A dilation factor of 1 over 2

Step-by-step explanation:

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saimaparvezVT saimaparvezVT · Answer 2 · 2022-08-20T14:46:00+02:00

A dilation factor of 1 over 2 which is the correct answer would be an option (C)

Dilation is a process for creating similar figures by changing the size.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Here polygons PQRS is dilated to form polygons P'Q'R'S'

Given that the coordinates for each of the shapes:

Regular:

P = -4, -2

Q = -4, -6

R = -2, -4

S = -2, -2

Prime notation:

P' = -2, -1

Q' = -2, -3

R' = -1, -2

S' = -1, -1

We have to determine the dilation factor.

As we know dilation factor is the ratio of sides in the original image and the image after dilation.

Dilation factor = P'S'/PS

Dilation factor = 1/2

Hence, a dilation factor of 1 over 2 that polygons PQRS is dilated to form polygons P'Q'R'S'

Learn more about the Dilation here:

brainly.com/question/13176891

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