Kite

Quadrilateral

TrapezoidParallelogram

IsoscelesTrapezoid

RhombusRectangle

Square

Math 3 Hon – Unit 1: Quadrilateral Classifications

Quadrilateral

TrapezoidParallelogram

IsoscelesTrapezoid

RhombusRectangle

Square

>

>

>

>

>

>

>

>>

> >

>

>> >>>> >>

>> >>

>> >>

|

|

| |

|

|

|

||

|

|

|

|

|

| |

||

||

|| ||

||

|| |||

|||

|||

|||

||||||

||||

||||

||||||

||

||

|||

|||

Kite

$ $

$ $

$ $

$ $

45o

45o

Opp. sides are parallel.Opp. angles are congruent.Opp. sides are parallel. Consecutive angles are supp.Diagonals bisect each other.

All four sides are congruentFour congruent triangles are madeDiagonals bisect vertex anglesDiagonals are perpendicular

Diagonals are congruentAll four angles are right angles

A rectangle that is also a rhombus

Exactly one pair of opp. sides are parallel.

Base angles are congruent.Base legs are congruent.Diagonals are congruent.

||||

||| |||

2 Sets of consecutive sides are congruent.Diagonals are perp.One diagonal bisect vertices

Diagonal Properties Parallelogram Rectangle Rhombus Kite Square

Isosceles Trapezoid

Opposite sides are parallel

Opposite sides are congruent

Opposites angles are congruent

Consecutive sides are

congruent

Consecutive Angles are

supplementary

Diagonals bisect each other.

Diagonals are congruent.

Diagonals are perpendicular.

Diagonals bisect vertex angles.

Diagonals form 2 pairs of

congruent triangles.

Diagonals form 4 congruent triangles.

Diagonal Properties Parallelogram Rectangle Rhombus Kite Square

Isosceles Trapezoid

Opposite sides are parallel X X X X Opposite sides are congruent X X X X Opposites angles are congruent X X X X

Consecutive sides are congruent X X X (sort of )Consecutive Angles are supplementary X X X X XDiagonals bisect each other. X X X X Diagonals are congruent. X X XDiagonals are perpendicular. X X X Diagonals bisect vertex angles. X X Diagonals form 2 pairs of congruent triangles. X X X X x Diagonals form 4 congruent triangles. X X