### Home > GC > Chapter 3 > Lesson 3.2.3 > Problem3-69

3-69.

On graph paper, plot $ABCD$ if $A(0,3)$, $B(2,5)$, $C(6,3)$, and $D(4,1)$.

1. Rotate $ABCD$ $90º$ clockwise ($↻$) about the origin to form $A'B'C'D'$. Name the coordinates of $B'$.

The coordinates of $B'$ are: $(5,-2)$

2. Translate $A'B'C'D'$ up $8$ units and left $7$ units to form $A''B''C''D''$. Name the coordinates of $C''$.

The coordinates of $C''$ are: $(-4,2)$

3. After rotating $ABCD$ $180º$ to form $A'''B'''C'''D'''$, Arah noticed that $A'''B'''C'''D'''$ position and orientation was the same as $ABCD$. What was the point of rotation? How did you find it?

Use the eTool below to solve each part.
Click the link at right for the full version of the eTool. 3-69 HW eTool (Desmos)