Question

The figure ABCDFG is rotated by positive 90° about the origin (0,0)

Answer 1

Here's the answer from my test

Answer 2

The graph of image and preimgae is shown below.

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

`(x,y)\rightarrow (-y,x)`

The vertices of image are

`A(-2,2)\rightarrow A'(-2,-2)`

`B(5,2)\rightarrow B'(-2,5)`

`C(5,0)\rightarrow C'(0,5)`

`D(0,0)\rightarrow D'(0,0)`

`F(0,-2)\rightarrow F'(2,0)`

`G(-2,-2)\rightarrow (2,-2)`

The graph of image and preimgae is shown below.