Question

Polygon PQRST is show on the coordinate plane below.8) Given the algebraic representation (x, y) *(x, y), create the image of P'QʻR'ST' on thecoordinate plane.PRS

Answer 1

1) We have here a Dilation. The image is going to "shrink" under the scale factor of 1/2

2) Let's look at the graph and find the coordinates of each vertex.

Preimage:

P (-5,3) Q (0,4) R( 4,2) S(2,-3) T( -4,-3)

3) Dilating the figure under a scale factor of 1/2 for each x, and y coordinate.

Then the image is going to :

P' (-5/2, 3/2) Q' (0,2) R' (2,1) S' (1,-3/2) T(-2,-3/2)

9) When a Dilation has the scale factor k=1, there is no dilation actually. Since the polygon remains with the same dimensions.

10) K>1

When the scale factor is above 1 the polygon, or any figure enlarges.

11)0The Figure shrinks. It can't be zero, for there's no dilation at 0 as a scale factor.