Question

The directions are with the pic below. I have to send an additional pic. All wouldn’t fit on the page.

Answer 1

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.

Step-by-step 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.

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

The image of point A(-1, -2).

`A(-1,-2)\rightarrow A^(\prime)(-(-2),-1)`

`A(-2,-2)\rightarrow A^(\prime)(2,-1)`

The image of point K(-2,2)

`K(-2,2)\rightarrow K^(\prime)(-(2),-2)`

`K(-2,2)\rightarrow K^(\prime)(-2,-2)`

The image of point M(0,2).

`M(0,2)\rightarrow M^(\prime)(-(2),0)`

`M(0,2)\rightarrow M^(\prime)(-2,0)`

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