Quadrilateral [math]ABCD[/math] has vertices [math]A (0, 8)[/math], [math]B (11, 1)[/math], [math]C (0, –6)[/math], and [math]D (–11, 1)[/math]. Using slope, distance, and/or midpoints, classify quadrilateral [math]ABCD[/math] as a rectangle, rhombus, square, trapezoid, isosceles trapezoid, or kite.
[list=1][br][*]Graph the quadrilateral.[br][*]Calculate the slopes of the sides to determine if the quadrilateral is a parallelogram.[br][*]Examine the slopes of consecutive sides to determine if the sides are perpendicular.[br][*]Calculate the lengths of the sides.[br][*]Summarize your findings.[br][/list][br][br]This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit www.walch.com for more information.