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

LT 6.2: Prove and apply properties of parallelograms

Vocabulary

Prove Given: JKLM is a parallelogram  

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

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

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.

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

Example:

CF = 74 mm M<EFC = 138° DF = 62 mm

Example:

Answers YZ = 52 M<Z = 65°

Example: JG 12 B) FH 18