Question

Example: Rectangle P'Q’R'S' is a
result of a dilation with a scale
factor of 2. What are the
coordinates of rectangle PQRS?

Helppp

Answer 1

Step-by-step explanation:

A dilation of the rectangle PQRS will produce an image that is the same shape as rectangle PQRS but a different size. In this case the size is smaller since the scale factor is less than 1.

The center of the dilation is a fixed point.

The notation for dilation is Dk where k is the scale factor.

For a dilation centered around the origin

 Dk (x,y) = (kx, ky)

 So let's say you have a rectangle PQRS where

P = (0,0)

Q = (4,0)

R = (4,4)

S = (0,4)

To get the dilation of this PQRS to P'Q'R'S' with scale factor 1/4 you multiply every coordinate by 1/4. 

 P' = (0.0)

Q' = (1,0)

R' = (1,1)

S' = (0,1)

 You can plot both these rectangles to see they are same shape but second is smaller than original and they both are centered on origin.