OBJECTIVES:1) TO USE RELATIONSHIPS AMONG SIDES AND AMONG

ANGLES OF PARALLELOGRAMS.2) TO USE RELATIONSHIPS INVOLVING DIAGONALS OF

PARALLELOGRAMS OR TRANSVERSALS.

6-2 Properties of Parallelograms

M11.C.1 2.9.11.C

TheoremOpposite sides of a parallelogram are

congruent.

Symbol

ExampleDraw parallelogram PQRS. Find x. QR = 3x – 15PS = 2x + 3

VocabularyConsecutive Angles – Angles of a polygon that

share a side. They are equal to 180.

Examples: Using Consecutive AnglesFind m∠O.

TheoremOpposite angles of a parallelogram are congruent

Example: Use opposite anglesFind the value of x in quadrilateral ABCD.

Then find the m∠A

TheoremThe diagonals of a parallelogram bisect each

other.

Example: Using Diagonals

Parallelogram ABCDDiagonals meet at EAE= 3y - 4EC=yBE= x + 15ED= 6xFind x and y.Find AE, EC, BE, and ED.

ClassworkHANDED-INPg 297 #1-14

Page 297 #15, 16, 44-51 Bonus #48