1. Math Humor
Q: What do you call an urgent message sent across a parallel network?
A: A parallelogram!

2. LT 6.2: Prove and apply properties of parallelograms

3. Vocabulary

4. Prove
Given: JKLM is a parallelogram

5. Theorem 6-2-1
If a quadrilateral is a parallelogram, then its opposite sides are congruent.

6. Theorem 6-2-2
If a quadrilateral is a parallelogram, then its opposite angles are congruent.

7. Theorem 6-2-3
If a quadrilateral is a parallelogram, then its consecutive angles are supplementary.
If parallelogram then <A and <C are supplementary, <B and <C are supplementary.

8. Theorem 6-2-4
If a quadrilateral is a parallelogram, then its diagonals bisect each other.

9. Example:

10. CF = 74 mm
M<EFC = 138°
DF = 62 mm

11. Example:

12. Answers
YZ = 52
M<Z = 65°

13. Example: JG 12
B) FH 18