Quarilaterals
Isosceles Trapezoid proof
distance formula twice after proving trapezoid to show legs are congruent
Rhombus properties
has all properties of a parallelogram All sides are congruent Diagnols are perpindicular The diagnols bisect the angles of a rhombus The diagnols of a rhombus form four congruent right triangles
Properties of a trapezoid
one pair of opposite sides parallel consecutive interior angles are supplementary
Rhombus
A parallelogram with four equal sides
square
A quadrilateral with four equal sides and four right angles
Square Properties
A square has all the properties of a parallelogram, rectangle and rhombus
Rectangle Properties
All properties of a parallelogram Four right angles (consecutive sides perpindicular) Diagnols are congruent
Properties of Isosceles trapezoid
All properties of a trapeziod non-parallel sieds are congruent base angles are congruent diagnols are congruent opposite angles are supplementary
Parallelogram Properties
-opposite sides are parallel -opposite sides are congruent -opposite angles are congruent -consecutive angles are supplementary -diagonals bisect each other diagnols bisect parallelorgram into 2 congruent triangles
Parallelogram Proof
Slope formula four times to prove both pairs of opposite sides are parallel Distance formula four times to show opposite sides are congruent Midpoint formula twice to show diagnols bisect each other
Parallelorgram
a quadrilateral with both pairs of opposite sides parallel
Trapezoid
a quadrilateral with one pair of parallel sides
Isosceles trapezoid
a trapeziod with congruent legs
Square Proofs
six distances all sides and diganols are congruent six slopes opposite sides parallel, consecutive sides perpindicular and diganols perpindicular
Trapezoid proof
slope formula for all sides to prove that only one pair of opposite sides are parallel
Rhombus Proofs
use distance formula four times to show all four sides are congruent
Rectangle Proofs
use slope formula to prove opposite sides are parallel and consecutive sides are perpindicular