Linear Algebra Rotation and Dilation

A visual representation of the dilation and rotation transformations in Linear Algebra. Move the sliders to see what happens!

CCSS IP Math II 5.7.2 Example 2

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] [*]Graph the quadrilateral. [*]Calculate the slopes of the sides to determine if the quadrilateral is a parallelogram. [*]Examine the slopes of consecutive sides to determine if the sides are perpendicular. [*]Calculate the lengths of the sides. [*]Summarize your findings. [/list]

Information