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decagon
10 sides
dodecagon
12 sides
hexagon
6 sides
regular
sides and angles are congruent and convex
Polygon Interior angles theorem
the sum of all measures in an n-gon is (n-2)x180
Interior angles of a quadrilateral
sum is 360
Polygon exterior angles theorem
sum of all exterior angles is 360
Parallelogram opposite sides theorem
If its a parallelogram then opposite sides are congruent
parallelogram opposite angles theorem
parallelogram opposite angles are congruent
parallelogram consecutive angles theorem
parallelogram consecutive angles sum to 180
parallelogram diagnols theorem
parallelogram diagnols bisect eachother
Opposite sides parallel and congruent theorem
One pair of opposite sides are congruent and parallel
Rhombus
A parallelogram with 4 congruent sides
Rectangle
A parallelogram with 4 right angles
square
a parallelogram with 4 congruent sides and 4 right angles
Rhombus Diagnols Theorem
A parallelogram is a rhombus only if its diagnols are perpendicular
Rhombus opposite angles theorem
A parallelogram is a rhombus only if the diagnols bisect a pair of opposite angles
Rectangle diagnols theorem
A parallelogram is a rectangle only if the diagnols are congruent
Kite
a quadrilateral that has 2 pairs of consecutive conguent sides.
Opposite sides are not congruent
Kite diagnols theorem
If its a kite then the diagnols are perpendicular
Kite opposite angles theorem
If its a kite then ONE PAIR of opposite angles are congruent
Trapezoid
Quadrilateral with 1 pair of parallel sides the bases
2 pairs of base Angles
Legs- nonparallel sides
Isosceles Trapazoid
Trapazoid when both legs are congruent
Isoceles Trapazoid Base Angles Theorem
If a trapezoid is isosceles then each base Angle pair is congruent
Isosceles Trapazoid Base angles converse
If a trapezoid has 1 PAIR of congruent base angles then its an isoceles trapezoid
Isosceles Trapezoid Diagnols Theorem
A trapezoid is only isosceles if the diagonals are congruent
Midsegment
A segment that connects the midpoints of trapezoid legs
Trapezoid Midsegment theorem
The midsegment is parallel to each base
Its is half the SUM of the base lengths
