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