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3-81.

Copy rectangle $ABCD$ at right on graph paper. 3-81 HW eTool (Desmos) Homework Help ✎

1. Rotate rectangle $ABCD \:90º$ counterclockwise $(\circlearrowleft )$ about the origin to create rectangle $A^\prime B^\prime C^\prime D^\prime$. Name the coordinates of $C^\prime$.

2. Reflect rectangle $ABCD$ across the vertical line $x = 1$ to create rectangle $A^{\prime \prime }B^{\prime \prime }C^{\prime \prime }D^{\prime \prime }$. Name the coordinates of $C^{\prime \prime}$.

3. Translate rectangle $ABCD$ so that $C$ is moved $5$ units down and $12$ units right. Name the coordinates of $C^{\prime \prime \prime }$. How is this transformation related to the line $y=−\frac{5}{12}x+1$?

4. What is the area of rectangle $ABCD$?

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