Given:
We get the points A(-1,-2) , K(-2, 2) and M(0,2).
Aim:
We need to find the new figure which is obtained by rotating the given figure by 90-degree counterclockwise.
Explanation:
Recall that when we rotate the point (x,y) 90 degrees counterclockwise then the image of the point (x,y) can be written as follows.
[tex](x,y)^{\prime}\rightarrow(-y,x)[/tex]
The image of point A(-1, -2).
[tex]A(-1,-2)\rightarrow A^{\prime}(-(-2),-1)[/tex]
[tex]A(-2,-2)\rightarrow A^{\prime}(2,-1)[/tex]
The image of point K(-2,2)
[tex]K(-2,2)\rightarrow K^{\prime}(-(2),-2)[/tex]
[tex]K(-2,2)\rightarrow K^{\prime}(-2,-2)[/tex]
The image of point M(0,2).
[tex]M(0,2)\rightarrow M^{\prime}(-(2),0)[/tex]
[tex]M(0,2)\rightarrow M^{\prime}(-2,0)[/tex]
Mark points A'(2,-1), K'(-2,-2), and M'(-2,0) on the graph and join all points.
Final answer:
The new figure is
