Unit 7: Quadrilaterials6-1, 6-2 Classifying Quads, Properties of

parallelograms

Warm Up 4/16/13Be sure you have copied down the definitions

from your homework.If not, take this time to do so as we won’t have

time during class

Review your definitions

Unit 7 Essential QuestionsHow can I use the relationships of sides,

angles, and diagonals of parallelograms to solve problems?

How can I use properties of all quadrilaterals to solve problems?

Bonus QuestionSee website

Agenda1. Warm Up2. 6-1: Classifying Quadrilaterals3. 6-2: Properties of Parallelograms4. Classwork/Homework

Today’s ObjectiveStudents will be able to define and classify

special types of quadrilaterals.

Students will be able to use relationships among sides and angles of parallelograms

Students will be able to use relationships involving diagonals of parallelograms or transversals.

Quadrilateral: Polygon with 4 sides.

Name it going around it. EX: ABCD or BCDA

6-1: Classifying Quadrilaterals

AB

C

D

ParallelogramDefinition: A Parallelogram is a

quadrilateral with two pairs of parallel sides (Opposite sides are parallel)Symbol:

RhombusDefinition: A Rhombus is a parallelogram

with four congruent sides.

RectangleDefinition: A Rectangle is a parallelogram

with four right angles

SquareDefinition: A Square is a parallelogram with

four congruent sides and four right angles

KiteDefinition: A Kite is a quadrilateral with two

pairs of adjacent sides congruent and no opposite sides congruent

TrapezoidDefinition: A Trapezoid is a quadrilateral

with exactly one pair of parallel sides.

Isosceles TrapezoidDefinition: An Isosceles Trapezoid is a

trapezoid whose nonparallel opposite sides are congruent

6-2: Properties of Parallelograms

Review: A Parallelogram is a quadrilateral with two pairs of parallel sides (Opposite sides are parallel)Symbol:

Other Properties of a1. Opposite sides are

2. Opposite ∠ ‘s are

3. Consecutive ∠ ‘s are supplementary (Sum to 180)

a+b = 180b+d=180

a+c=180c+d=180

Same side interior angles

4. Diagonals bisect each other (cut in half)

Example 1: ABCD is a AB = 5x+3, DC=4x+15. Find x

Ex 2: m<ADC = 68Find m<DCB

Find m<CBA

Find m<BAD

Ex.3: AE=2x+5, EC=4x-9, Find AC

Ex. 4: DB=8x-4, EB=2x, Find DE

Homework Left side of page 2 of packet

For extra practice, attempt proofs on right side