### Home > GC > Chapter 2 > Lesson 2.2.4 > Problem2-93

2-93.

On graph paper, plot quadrilateral $ABCD$ if $A (2, 7)$, $B (4, 8)$, $C (4, 2)$, and $D (2, 3)$.

1. What is the best name for this shape? Justify your conclusion.

This shape is an isosceles trapezoid.

1. Quadrilateral $A^\prime B^\prime C^\prime D^\prime$ is formed by rotating $ABCD$ $90°$ clockwise about the origin. Name the coordinates of the vertices.

$A$ ($7, -2$), $B$ ($8, -4$), $C$ ($2, -4$), $D$ $(3, -2)$

1. Find the area of $ABCD$. Show all work.

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

Use the eTool below to plot the quadrilateral.
Click the link at right for the full version of the eTool: 2-93 HW eTool (Desmos)