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Parallelogram Properties Cheat Sheet Sides Both pairs of opposite sides are congruent Angles Opposite sides’ Slope Formula slopes are congruent Angles Supplementary consecutive interior angles proves parallel lines. The diagonals bisect each other. Diagonals Distance Formula CIA are supplementary <1 + <2 = 180 Midpoint Formula You can prove a shape is a parallelogram by using ONLY ONE of the above methods. Read the example given and choose a method which works best for the example AND you! Rectangle Properties Cheat Sheet Angles Diagonals 4 right angles Both diagonals are congruent Slope formula Consecutive slopes are opposite reciprocals. Distance formula Remember you must prove the shape is a parallelogram first! Then choose ONE of the methods above. Rhombus Properties Cheat Sheet Sides 4 congruent sides Distance Formula Diagonals Intersect at a 90 degree angle. Slope Formula They are perpendicular Remember you must prove the shape is a parallelogram first! Then choose ONE of the methods above. Square Properties Cheat Sheet Remember you must prove the shape is a parallelogram, rectangle, AND rhombus first! Once you do that, you have proven it is a Square! Some images and property boxes taken from http://regentsprep.org/Regents/math/geometry/GP9/LQuad.htm