### Home > INT2 > Chapter 11 > Lesson 11.2.1 > Problem11-50

11-50.

On graph paper, graph quadrilateral $ABCD$ if $A(0, 0), B(6, 0), C(8, 6),$ and $D(2, 6)$.

1. What is the best name for $ABCD$? Justify your answer.

Look at the graph. What properties does the figure have? Use the Pythagorean Theorem and slope to determine properties.
Based on these properties, what type of quadrilateral is it?

2. What are the equations of the lines containing each diagonal? That is, what are the equations of $\overleftrightarrow { A C }$ and $\overleftrightarrow { B D }$?

What are the slopes of each of these lines? What are the $y$-intercepts?

Use the eTool below to view the graph of the quadrilateral.
Click the link at right for the full version of the eTool: 11-50 HW eTool