Answer:
The graph of image and preimgae is shown below.
Step-by-step explanation:
From the given figure it is noticed that the vertices are A(-2,2), B(5,2), C(5,0), D(0,0), F(0,-2) and G(-2,-2).
It is given that figure ABCDFG is rotated by positive 90° about the origin (0,0).
Positive means counter clockwise and negative means clockwise.
If a figure is rotated by counter clockwise 90° about the origin (0,0), then
[tex](x,y)\rightarrow (-y,x)[/tex]
The vertices of image are
[tex]A(-2,2)\rightarrow A'(-2,-2)[/tex]
[tex]B(5,2)\rightarrow B'(-2,5)[/tex]
[tex]C(5,0)\rightarrow C'(0,5)[/tex]
[tex]D(0,0)\rightarrow D'(0,0)[/tex]
[tex]F(0,-2)\rightarrow F'(2,0)[/tex]
[tex]G(-2,-2)\rightarrow (2,-2)[/tex]
The graph of image and preimgae is shown below.
