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Author:
Jennifer Almeida

Use the Distance, Midpoint, and Slope formulas to prove the properties of quadrilaterals.

Tutorial

There is no WSQ form for you to fill out over Lesson 11-6 because I will be collecting Assignment 11-6 in class tomorrow.

For Assignment 11-6, use the Coordinate Proof Examples (below) to help you find the Midpoint, Slope, and Length of each diagonal and determine if your Quadrilateral is a Parallelogram, Rectangle, Rhombus, or Square.

Plot the points and draw each quadrilateral on the coordinate Plane.

SHOW ALL WORK on a separate sheet of paper! NO WORK = NO CREDIT... No Kidding!

Step 1: Determine if the figure is a **parallelogram** by showing the diagonals **BISECT EACH OTHER**. (Hint: Find the **midpoin**t of each diagonal.)

Step 2: Determine if the figure is a **rhombus** by showing the diagonals are **PERPENDICULAR**. (Hint: Find the **slope** of each diagonal. The slopes of perpendicular lines are NEGATIVE RECIPROCALS.)

Step 3: Determine if the figure is a **rectangle** by showing the diagonals are **CONGRUENT**. (Hint: Find the **length** of each diagonal using Distance Formula or Pythagorean Theorem.)

Step 4: Name the quadrilateral... Is it a parallelogram, rectangle, rhombus, or square???

1. Regents Prep: Coordinate Proof Lesson

2. Regents Prep: Coordinate Proof Practice (w/solutions)

3. Lesson Video: Coordinate Proof for Quadrilaterals