The Great Coordinate Geometry Caper
This is meant to be a culminating assignment after the completion of your study of geometric quadrilaterals. This project includes the discovery of Parallelograms, Rectangles, Rhombuses, Squares, Trapezoids, Isosceles Trapezoids, and Kites. This activity also requires prior knowledge of several geometric formulas and equations.
In this writing activity students will be asked to classify three quadrilaterals given their points. They will then be asked to justify the classification. Students should use distance formula, slope formula, and geometric theorems and postulates to classify the quadrilaterals.
On the assignment sheet, I have left an opening for the coordinates of three quadrilaterals. I have provided 15 coordinates to various quadrilaterals on page 6 that can be filled in to the worksheet by the teacher. I would recommend that the teacher randomly assign the quadrilaterals to each student. To help you with correcting the assignment you should keep a record of which quadrilaterals were assigned to each student.
This assignment is aligned to common core for mathematics and meets the following standards:
G.CO.11 - Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals
G. GPE.4 - Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, ?3) lies on the circle centered at the origin and containing the point (0, 2).