all quadrilaterals four angles four sides angles add to °360 parallelograms opposite sides are...

All QuadrilateralsFour anglesFour sides

Angles add to °360

ParallelogramsOpposite sides are parallel

Opposite sides are congruentOpposite angles are congruent

Consecutive angles are supplementaryDiagonals bisect each other

Let’s review the quadrilateral properties we’ve learned so far:

Rectangle

Quadrilaterals – Day 3

Today we’re going to learn about

special parallelograms

RhombusSquare

All Quadrilaterals

Parallelogram

Rectangle

© Is a parallelogram©Has all the properties of

quadrilaterals above it in the flow chart

PLUS has the following special properties:

© Angles are 90°© Diagonals are congruent (contractor’s

theorem)

Rectangle

All Quadrilaterals

Rhombi

Parallelograms

Rectangles

© Is a parallelogram

© Has all the properties of quadrilaterals above it

PLUS has the following special properties:

© Sides are congruent© Diagonals are perpendicular© Diagonals are angle bisectors

Rhombus

All Quadrilaterals

Rhombus

Parallelogram

Rectangle

SquareSQUARESquare is the love

child of the rectangle and

rhombus

Has all the properties of quadrilaterals above it in the flow chart.

SQUARE It gets the congruent sides mom It gets the angles from dad It gets the congruent diagonals

from dad It gets perpendicular diagonals

from mom It gets angle bisector diagonals

from mom

Dad = Rectangle Mom = Rhombus

All Quadrilaterals

Rhombus

Parallelogram

Rectangle

Square

Venn

Diagram

Euler (pronounced ‘oiler’)Diagram

I never realized there was so much

to learn about quadrilaterals!

Whew….

Let’s practice…

F

M

D E

R

14 in.

26 in.

20°

mDM = 15 in.

FRED is a rectangle

Find the measures of all the sides, diagonals and angles.

CRIS is a rhombusFind all angle, side

and diagonal measures

C S

IR

17 ft15 ft

8 ft 28°

True or False

1. Every square is a rhombus

2. Every rhombus is a square

3. Every rectangle is a square

4. Every square is a rectangle

5. All rhombi are parallelograms

6. Every parallelogram is a rectangle.

QuadrilateralsDay 4

KiteTrapezoidTrapezium

ConvexQuadrilaterals

Parallelograms

Rectangles Rhombi

Square

Trapezoid

Right Trapezoid

Isosceles Trapezoid

Trapezium

Kite

This is what the flow chart will look like at the end of this class.

Properties of a trapezoid

♥ A trapezoid has one and only one pair of parallel sides.

♥ Two pair of consecutive, supplementary angles.

Properties of a TRAPEZIUM:A quadrilateral with NO parallel sides.

♥ 2 pair of consecutive congruent sides

♥ Opposite sides are NOT congruent♥ Only ONE pair of opposite angles are

congruent.♥ Diagonals are perpendicular♥ Only ONE diagonal

is bisected

A special Trapezium is a KITE

White boards…

Your Assignment

6-6 Worksheet