CCGPS AG 1.10.2 Example 1

Quadrilateral [math]ABCD[/math] has vertices [math]A (–6, 8)[/math], [math]B (2, 2)[/math], [math]C (–1, –2)[/math], and [math]D (–9, 4)[/math]. Using slope, distance, and/or midpoints, classify quadrilateral [math]ABCD[/math] as a rectangle, rhombus, square, trapezoid, isosceles trapezoid, or kite.

[list=1] [*]Graph the quadrilateral. [*]Calculate the slopes of the sides to determine if opposite sides are parallel. [*]Examine the slopes of the consecutive sides to determine if they intersect at right angles. [*]Calculate the lengths of the sides. [*]Summarize your findings. [/list] This applet is provided by Walch Education as supplemental material for the [i]CCGPS Analytic Geometry[/i] program. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on our resources.