Coordinate Proof Setup for Rectangle Diagonals

About This MicroSim

This diagram shows how to strategically place a geometric figure on the coordinate plane for a coordinate proof. It demonstrates the key steps for proving that the diagonals of a rectangle are congruent using the distance formula.

What This Diagram Shows

Rectangle ABCD placed with vertex A at the origin
Sides aligned with axes for simpler algebra
Variable coordinates (a, b) to prove for all rectangles
Distance formula calculations for both diagonals
Conclusion showing AC = BD

Strategic Placement Tips

Place one vertex at the origin (0, 0)
Align sides along the x-axis and y-axis
Use variables instead of specific numbers for generality
Keep the figure in the first quadrant for positive coordinates

Learning Objectives

Apply coordinate geometry formulas to prove geometric properties algebraically

Bloom's Taxonomy Level

Applying - Using coordinate geometry formulas to prove properties.

Iframe Embed Code

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References

Coordinate Geometry - Math Is Fun
Distance Formula - Khan Academy