1. 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

2. Theorem Opposite sides of a parallelogram are congruent. Symbol

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

4. Vocabulary Consecutive Angles – Angles of a polygon that share a side. They are equal to 180.

5. Examples: Using Consecutive Angles Find m ∠O.

6. Theorem Opposite angles of a parallelogram are congruent

7. Example: Use opposite angles Find the value of x in quadrilateral ABCD. Then find the m ∠A

8. Theorem The diagonals of a parallelogram bisect each other.

9. Example: Using Diagonals Parallelogram ABCD Diagonals meet at E AE= 3y - 4 EC=y BE= x + 15 ED= 6x Find x and y. Find AE, EC, BE, and ED.

10. Classwork HANDED-IN Pg 297 #1-14 Page 297 #15, 16, 44-51 Bonus #48