QUADRILATERAL PROJECT

GEOMETRY EOC

Parallelogram Opposite angles are equal. Consecutive angles are supplementary. Opposite sides are congruent. Any side can be considered a base. The altitude is the perpendicular

distance from the base to the opposite side.

The diagonals bisect.

Angles and Sides of a Parallelogram

Real Life Parallelograms

Properties of a Rectangle

Rectangles are types of parallelograms.Opposite sides are parallel and congruent.

The diagonals bisect.The diagonals’ central angles are congruent.

The diagonals are congruent.All vertices are right angles.

Angles and Sides of a Rectangle

Real Life Rectangle

Properties of a Rhombus

All sides are the same length. Sides across from each other are

parellel. No angles are 90 degrees Any two angles positioned next to each

other are 90 degrees when added.

Angles and Sides of a Rhombus

Real Life Rhombus

Properties of a square

A square has four equal sides A square has four 90 degree angles The diagonals are perpendicular Opposite sides are parallel and equal The diagonals are equal

Angles and Relationships of a Square

Squares in Everyday Life

Properties of a Trapezoid

A trapezoid has 1 pair of parellel sides Adjacent angles are supplementary Diagonals are congruent A trapezoid can be divided into four

triangles

Angles and Sides of a trapezoid

Real Life Trapezoid

Properties of an Isosceles Trapezoid The bases (top & bottom) of an isosceles

trapezoid are parallel. Opposite sides of an isosceles trapezoid are

the same length (congruent) The angles on either side of the bases are

the same size/measure(congruent) The diagonals are congruent Adjacent angles (next to each other) along

the sides are supplementary. That means their measures adds up to 180 degrees.

Angles and Sides of an Isosceles Trapezoid

Real Life Isosceles Trapezoid

Hierarchy Chart

Rectangle

ParallelogramSquare

Quadrillateral

Trapezoid

Matrix of Special Quadrilateral Properties

Four

Edges

360 Degrees

Right Angles

Two Parallel Sides

Opposite Sides Congruent

Congruent Diagonals

Bisecting Diagonals

Parallelogram X X x xRectangle X X x x x xRhombus X X x xSquare X X x x x xTrapezoid X X xIsosceles Trapezoid X X x