Parallelogram
Opp sides parallel. Opp sides congruent. Opp angles congruent. Consecutive angles supplementary. Diagonals bisect each other.
Rectangle
Opp sides parallel. Opp sides congruent. Opp angles congruent. Consecutive angles supplementary. Diagonals bisect each other. 4 right angles. Diagonals congruent.
Rhombus
Opp sides parallel. Opp sides congruent. Opp angles congruent. Consecutive angles supplementary. Diagonals bisect each other. All sides congruent. Diagonals perpendicular. Diagonals bisect angles.
Square
Opp sides parallel. Opp sides congruent. Opp angles congruent. Consecutive angles supplementary. Diagonals bisect each other. All sides congruent. Diagonals perpendicular. Diagonals bisect angles.
Kite
Diagonals perpendicular.
Trapezoid
Only one set of parallel sides.
Median is parallel to bases and 1/2 sum of bases.
Isos trap
Legs congruent.
Base angles are congruent.
Diagonals congruent.
Opp angles supplementary.
Mean proportional in right triangles: Altitude rule.
Part of hyp. Altitude
———- == ———–
Altitude Other part of hyp
Mean proportional in Right triangle: Leg rule.
Whole hyp. Leg
———- == ————
Leg. Projection
Transformations
Reflect x axis: (x,y) Reflect y axis: (-x,y) Reflect y=x: (y,x) Reflect y=-x: (-y,-x) Rot 90: (-y,x) Rot 180: (-x,-7) Rotate origin: (-x,-y) Rot 270: (y,-x)
Slope
X2-X1
Distance formula
{(x2-x1)^2+(y2-y1)^2}
Converse
B–>A
Inverse
-A–>-B
Contrapositive
-b–>-a