Question

The vertices of a figure are A(1, -1), B(5, -6), and C(1, - 6). Rotate the figure 90° counterclockwise about the origin. Find the coordinates of the image. Polygon

Answer 1

A'(1,1)

B' (6,5)

C' (6,1)

Step-by-step explanation

Step 1

Let

A(1,-1)

B(5,-6)

C(1,-6)

Step 2

find the image (A'B'C')

When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.

Hence

`\begin{gathered} A\mleft(1,-1\mright)\rightarrow A^(\prime)(1,1) \\ B(5,-6)\rightarrow B^(\prime)(6,5) \\ C(1,-6)\rightarrow C^(\prime)(6,1) \end{gathered}`

so, the coordinates of the image are

A'(1,1)

B' (6,5)

C' (6,1)

I hope this helps you