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11-6 Coordinate Proofs (DUE Thu. 3/26)

11-6 Coordinate Proofs (DUE Thu. 3/26)


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

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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 midpoint 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???

Coordinate Proof Examples:


Additional Resources:

Assignment 11-6: