1. Section 15.6: Properties of Parallelograms

2. Objective:
By following instructions, students will be able to:
Identify the sides, angles, and diagonals of a parallelogram.

3. Ways to Prove that a Quadrilateral is a Parallelogram
Def: Show that both pairs of opposite sides are parallel.
Theorem
Show both pairs of opposite sides are congruent.

4. Theorem
Show both pairs of opposite angles are congruent.
Theorem
Show one pair of opposite sides are congruent and parallel.
Theorem
Show the diagonals bisect each other.

5. explain 1
Prove that the opposite sides of a parallelogram are congruent.

6. explain 2
Prove that the opposite angles of a parallelogram are congruent.

7. explain 2
Prove that the opposite angles of a parallelogram are congruent.

8. explain 3
Complete the flow proof that the diagonals of a parallelogram bisect each other.

9. explain 4A
ABCD is a parallelogram. Find AD.

10. explain 4B
ABCD is a parallelogram. Find the measure of angle B.

11. Your-Turn #1
PQRS is a parallelogram. Find each measure. QR PR

12. Revisit Objective:
Did we…
Identify the sides, angles, and diagonals of a parallelogram?

13. HW:
Sec 15.6 pg 600 #s 6-16