6-3 Proving a Quad is a parallelogram

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Presentation transcript:

6-3 Proving a Quad is a parallelogram Day 2 Unit 7 6-3 Proving a Quad is a parallelogram

Agenda Warm-Up Homework 6-3 Notes Class Work

Check your Skills In isosceles ABC, <A is the vertex angle. If m<A=2x+6 and m<C=5x-3, find m<B. DEFG is a parallelogram. IF m<G=135, and m<F=2x. Find m<F DEFG is a parallelogram. If EG= 4x+8. H is the midpoint of EG. EH= x + 8. Find EH.

Homework Check

Class Work Answers 125 2. 45 3. 45 4. 130 5. 17 6. 66 7. 66 8. 13 9. 22 10. 30 11. 75 12. 70

6-3 Proving a Quad is a Parallelogram. 5 Ways to Prove a Quad is a Parallelogram: 1. By Definition: If both pairs of opp. sides are ll, then the Quad is a

2. Theorem 6-5: If the diagonals bisect each other, then the Quad is a

3. Theorem 6-6: If one pair of opp 3. Theorem 6-6: If one pair of opp. sides are BOTH ll and , then the Quad is a

4. Theorem 6-7: If both pairs of opp. sides are then the Quad is a

5. Theorem 6-8: If both pairs of opp angles are then the Quad is a

Examples: Can you conclude that the Quadrilateral is a ? If so why? 1.

2. 3.

4. 5.

6. 7.

A B D C

Homework Worksheet