Bellwork Solve for x

5x+3

3x+1

26

No Clickers

Bellwork Solution Solve for x

5x+3

3x+1

26

IDENTIFY SPECIAL QUADRILATERALS

Section 8.6

CHAPTER TEST ON FRIDAY

The Concept Today we’re going to be looking at the whole of our

quadrilaterals to help delineate between them This process will aid in our understanding of the

nuances between all three of them

The Dreaded Graphic Organizer Yesterday we talked about how quadrilaterals are

grouped…we found them to look like…

Quadrilaterals

Parallelograms

Rhombuses Rectangles

Squares

Kites

Trapezoids

IsoscelesTrapezoids

RightTrapezoids

Based on our pictureWhich quadrilaterals1. Have at least one

pair of congruent sides?

2. Have diagonals that are perpendicular

3. Are equilateral and equiangular4. Have congruent consecutive angles5. Have four sides6. Has congruent diagonals7. Has diagonals that bisect each other

Quadrilaterals

Parallelograms

Rhombuses Rectangles

Squares

Kites

Trapezoids

IsoscelesTrapezoids

RightTrapezoids

NamingKnowing the various properties of a quadrilateral is invaluable when faced with

the task of identifying or naming a quadrilateralFor example:

What is the name of this object?

NamingWhat is the name of this object?

NamingWhat is the name of this object?

Because we don’t know if

these are right angles, we

cannot call it a rectangle

NamingWhat is the name of this object?

Both a Rhombus and a Kite have perpendicular

diagonals, but we don’t know

anything else about this object

NamingDo we have enough information to say that this object is a

Rhombus?

55o

15

15

15

15

125o

55o

Homework

8.613-16, 18-20, 23, 26-28, 36

Practical ExampleWhat quadrilateral is shown below

56o

56o

24”

24”

Practical ExampleExplain why a parallelogram with one right angle must be a

rectangle?

Most Important Points Delineation of properties of

quadrilaterals Using properties to name objects

Question Practice Four limbs Eyes on the side of their head Large ears Quadripodal motion A mostly vegetarian diet Large Feet that also aid in swimming Very wrinkled rough skin An extended large snout

Question #1 A set of congruent opposite angles Bisected Diagonals No right angles Perpendicular Diagonals Equilateral

Question #2 A set of sides of equal length Diagonals that serve as angle bisectors Supplementary consecutive angles Two sets of parallel sides Congruent diagonals

Question #3 Two short sides and two long sides A set of congruent opposite angles A set of sides of equal length Perpendicular diagonals No sides parallel

Question #4 Two short sides and two long sides Two sets of supplementary consecutive angles A set of parallel sides A 90o angle Not equilateral Not equiangular