Question

Part I: Create your own quadrilateral on a coordinate plane. This figure may be a parallelogram, rectangle, rhombus, square, trapezoid, isosceles trapezoid, or kite. Provide the coordinates of the vertices for the quadrilateral you designed.

Part II: Provide the coordinates of a quadrilateral congruent to the quadrilateral you created. Explain why these figures are congruent.

Part III: Provide the coordinates of a quadrilateral similar to the quadrilateral you created. Explain why these figures are similar.

Answer 1

Let's create a simple square with the coordinates (0,0) (1,0) (1,1) and (0,1). A congruent figure would be the square with the coordinates (1,0) (1,1) (2,0) and (2,1). These are congruent because they have the same shape and dimensions. A similar figure would be the square with the coodinates (0,2) (2,0) (2,2) and (0,0). These are similar because they have the same shape but different dimensions.