Warm up

x = 29°y = 73°z = 102°

x = 31°y = 44°z = 105°

x = 73°y = 73°z = 107°

x =20°m<A = 60°m<B = 120° x =7

QT= 36 units

opposite sides not congruent

opposite angles not congruent

Let’s grade your homework

FYIQuiz next time

All QuadrilateralsFour anglesFour sides

Angles add to °360Parallelograms

Opposite sides are parallelOpposite sides are congruent

Opposite angles are congruent

Consecutive angles are supplementary

Diagonals 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

© 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

SQUARESquare 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

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.

Your assignment

8.4 Packetand

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