Question

4.) Rotate 90° counterclockwise about the origin.Original NewCoordinates: Coordinates:A: (___) A: ()YAON+COB:(_)B': ()2D2CC: (-)C':(___)D: (___)D:(__)

Answer 1

The Solution:

Rule:

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.

The original coordinates of the given points are as follows:

$\begin{gathered} A(-4,3)_{} \\ B(2,3) \\ C(2,-1) \\ D(-4,-1) \end{gathered}$

So, the new coordinates of the given points are below:

$A^{\prime}(-3,-4)$$B^{\prime}(-3,2)$$C^{\prime}(1,2)$$D^{\prime}(1,-4)$