Transcript Special 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
Quadrillateral
Trapezoid
Rectangle
Sq Parallelogram
ua
re
Matrix of Special Quadrilateral
Properties
Fou 360
r
Degr
Edg ees
es
Parallelogram
Rectangle
Rhombus
Square
Righ
t
Angl
es
X X
X X x
X X
Two
Parall
el
Sides
Oppo
site
Sides
Cong
ruent
Cong
ruent
Diago
nals
Bisecti
ng
Diagon
als
x
x
x x x
x
x