### Home > PC > Chapter 12 > Lesson 12.2.2 > Problem 12-53

12-53.

Find the images of the four points

, , , and by the matrix .

Graph these points.

What is the image of the square whose vertices are the points

, , , and ? Shade it on the graph you made in part (b). What is the name of this geometric figure?

Sketch the images of the lines

,,and.

For the line , all points are of the form

Hence and

*.*

Write an equation relating

*x*and

*y*.

If you graphed the original line and its image, how would it relate to the original square and its image in parts (a) and (b)?