test prep dilate abcd with a scale factor of 2 and center (0, 0). use the polygon tool to plot the image.

Explanation:

Step1: Recall dilation formula

If we have a point $(x,y)$ and we dilate it with a scale - factor $k$ and center of dilation $(0,0)$, the new point $(x',y')$ is given by $(x',y')=(k\cdot x,k\cdot y)$.

Step2: Identify vertices of ABCD

The vertices of the trapezoid $ABCD$ are $A(-2,2)$, $B(1,2)$, $C(2, - 1)$, $D(-2,-1)$.

Step3: Apply dilation formula

For point $A(-2,2)$: $A'=(2\times(-2),2\times2)=(-4,4)$. For point $B(1,2)$: $B'=(2\times1,2\times2)=(2,4)$. For point $C(2,-1)$: $C'=(2\times2,2\times(-1))=(4,-2)$. For point $D(-2,-1)$: $D'=(2\times(-2),2\times(-1))=(-4,-2)$.

Answer:

The vertices of the dilated trapezoid are $A'(-4,4)$, $B'(2,4)$, $C'(4,-2)$, $D'(-4,-2)$. Use the Polygon Tool to plot these points.