Graph the triangle with vertices X(−3, 2), Y(2, 3), and Z(1,−1) and its image after a dilation with scale factor k=−3.

What are the following coordinates for the dilation?

Please show all work on how you got your answer.

Dilation involves changing the size of a shape.

See attachment for the graphs of the image and the pre-image

The coordinates of the triangle is given as:

The scale factor (k) is given as:

So, the coordinates of the image are:

So, the coordinates of the image are:

See attachment for the graphs of the image and the pre-image

Read more about dilations at:

link

X(−3, 2), Y(2, 3), Z(1,−1)

Good job on graphing XYZ.  Dilation by k=-3 just means we multiply all the coordinates by -3:

X'(9,-6), Y'(-6,-9), Z(-3,3)

Since you know how to plot coordinates I'll leave that to you.

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk

answer: x=60