x = 29° y = 73° z = 102° Warm up x = 31° y = 44° z = 105° x =20° m

Let’s grade your homework

FYI Quiz next time

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

All Quadrilaterals

Four angles Four sides Angles add to °360

Parallelograms

Opposite sides are parallel Opposite sides are congruent Opposite angles are congruent Consecutive angles are supplementary Diagonals bisect each other

Quadrilaterals – Day 3 Today we’re going to learn about special parallelograms Rectangle Rhombus Square

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)

All Quadrilaterals Parallelograms Rectangles Rhombi

Rhombus

 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

All Quadrilaterals Parallelogram Rectangle Rhombus

SQUARE

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

Dad = Rectangle Mom = Rhombus      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

All Quadrilaterals Parallelogram Rectangle Rhombus Square

Whew….

I never realized there was so much to learn about quadrilaterals!

Let’s practice… FRED is a rectangle F Find the measures of all the sides, diagonals and angles.

R 14 in.

M D 20° 26 in.

mDM = 15 in.

E

CRIS is a rhombus Find all angle, side and diagonal measures R 8 ft 15 ft C S 28° I 17 ft

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 Packet and Word search