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