Plot the following points on another sheet of graph paper and connect them in the order given. Then connect points $A$ and $D$.  

$A\left(-3,4\right)$, $B(1,6)$, $C(5,-2)$, and $D(1,-4)$

1. A rectangle is a four-sided polygon with four right angles. Does the shape you graphed appear to be a rectangle? Use slope to justify your answer.

   Hint (a):

   Is each pair of adjacent segments perpendicular?

2. If $ABCD$ is rotated $90°$ clockwise ($\circlearrowright$) about the origin to form $A'B'C'D'$, what are the coordinates of the vertices of $A'B'C'D'$?

   Complete the table in the eTool below then click the "View Rotated Figure" circle to answer part (b).
   Click the link at right for the full version of the eTool: 1-85 HW eTool