# Coordinate Geometry Proofs Worksheets

What are Coordinate Geometry Proofs? When you look at the coordinate geometry, the concept is a bit difficult as compared to other algebraic concepts. The coordinate geometry proofs require a thorough understanding of the properties of several geometric shapes, such as triangles, rhombus, quadrilaterals, and other polygons. A coordinate proof is used in geometric theorems as proof to make ‘generalized’ arguments in cartesian planes. The method is based on assigning or fixing variables to the coordinates of one or more points for later of these variables in distance formula or midpoint formulas. Consider the following example of a Triangle Midsegment Theorem. The below-given figure states that the segments connecting the two sides of the triangle in the midpoint are parallel to the third side of the triangle and also exactly half of its length.

• ### Basic Lesson

Guides students through the beginner skills of Coordinate Geometry Proofs. A segment bisector intersects a segment at its midpoint. Since each diagonal has the same midpoint, they bisect each other. AFDS is a parallelogram because the diagonals bisect each other. AFDS is a parallelogram because the diagonals bisect each other.

• ### Intermediate Lesson

Demonstrates how to use advanced skills to tackle Coordinate Geometry Proofs problems.

• ### Independent Practice 1

A really great activity for allowing students to understand the concepts of the Coordinate Geometry Proofs. Prove that X(-2,-1), Y(1,2), Z(3,0) are the vertices of a right triangle.

• ### Independent Practice 2

Students use Coordinate Geometry Proofs in 20 assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with 12 problems to achieve the concepts of Coordinate Geometry Proofs.

• ### Skill Quiz

This tests the students ability to understand Congruent Triangle Proofs.