Properties of Quadrilaterals September 20,2010. Objectives SWBAT: –Define the different types of quadrilaterals. –Identify the properties of quadrilaterals.

Properties of Quadrilaterals

September 20,2010

Objectives

SWBAT:– Define the different types of

quadrilaterals.– Identify the properties of

quadrilaterals and the relationships among the properties.

ACTIVITY

1. Students are to work in their groups to complete the table.

2. Will discuss and illustrate each of the quadrilaterals.

Parallelogram Rectangle

Rhombus

Square

Kite

Trapezoid

A

B

C

D

E

F

H

I

J

K

L

M

Properties of Quadrilaterals

Rectangles

Rhombus

Square

Parallelogram

Kite

Trapezoid

QUADRILATERIALS

VERTICAL ANGLESDefinition: Vertical Angles are formed by two line segments. They

opposite each other and only share a common

point.Theorem: Vertical Angles are Congruent.

Vertical AngleVertical Angle

EXAMPLESIn the given Rhombus PQRS, PQ=5, PR=6, and 74PQR

S

P

Q

R

T

FIND:

1. QR

2. RS

3. PT

m PSR

m QPS

m PTQ

KM = x + 4, LN = 3x. Find x and then the

length of each diagonal

PRACTICEWorksheet 3.2

EXIT QUESTION

Given Parallelogram ABCD, EC = 1, DC= 3, 50ADC

Find 1. AB 2. AE3. 4.ABC

BCD

BCD

A B

CD

E

HOMEWORKPage 152 (9-41 all)