Using Coordinate Geometry to Prove that a Quadrilateral is a Parallelogram
Question: How can we determine whether a quadrilateral placed on a coordinate plane is a parallelogram of not?
Midpoint, Slope and Distance Formula Review.
Exploring the Distance Formula
Is the quadrilateral a parallelogram?
Based on your side length measurements and calculations can you conclude that the quadrilateral is a parallelogram? Give reason(s) why or why not.
Prove that a quadrilateral is a parallelogram
Instead of measuring and/or calculating the side lengths, we would like to prove that the opposite sides of the quadrilateral are congruent using the right triangles we constructed. Which of the following postulates or theorems could we use to prove the right triangles congruent based on the information in our sketch?