### Home > CCG > Chapter 2 > Lesson 2.3.1 > Problem2-108

2-108.

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

1. What type of shape is $ABCD$? Justify your answer.

2. If $ABCD$ is rotated $90º$ counterclockwise ($\circlearrowleft$) about the origin, name the coordinates of the image $A'B'C'D'$.

3. On your graph, reflect $ABCD$ across the $y$-axis to find $A''B''C''D''$. Name the coordinates of $A''$ and $C''$.

4. Find the area of $ABCD$. Show all work. 2-108 HW eTool (Desmos) Homework Help ✎.

$\text{Area of a trapezoid}=\frac{1}{2}(b_1+b_2)h$

Use the eTool below to plot ABCD.
Click the link at right for the full version of the eTool: CCG 2-108 HW eTool