  ### Home > INT2 > Chapter 5 > Lesson 5.2.1 > Problem5-70

5-70.

On graph paper, plot and connect the points to form quadrilateral $WXYZ$ if its vertices are $W(3, 7), X(3, 4), Y(9, 1),$ and $Z(5, 6)$.

1. What is the shape of quadrilateral $WXYZ$? Justify your conclusion.

It is a trapezoid because _____.

2. Determine the perimeter of quadrilateral $WXYZ$.

Use the Pythagorean Theorem to calculate the lengths of the sides.

3. If quadrilateral $WXYZ$ is reflected using the transformation function $(x, y) \rightarrow (–x, y)$ to form quadrilateral $W^\prime X^\prime Y^\prime Z^\prime$, what are the coordinates of vertex $Y^\prime$?

$(–9, 1)$

4. Rotate quadrilateral $WXYZ$ about the origin $90º$ clockwise ($\circlearrowright$) to form quadrilateral $W^{\prime \prime}X^{\prime \prime}​Y^{\prime \prime}Z^{\prime \prime}$. What is the slope of $\overleftrightarrow {W ^ { \prime \prime } Z ^ { \prime \prime }}$?

Use the eTool below to visualize the transformations.
Click the link at right for the full version of the eTool: INT2 5-70 HW eTool