1. 6.2/6.3: Properties of Parallelograms MCE Can you figure out the puzzle below??? Three Blind Mice

2. Sides and Angles Theorem 6.1: Opposite sides of a parallelogram are congruent. StatementsReasons 1. 2. 3. 4. 5. 6.

3. Sides and Angles Consecutive angles: angles of a polygon that share a side and are consecutive angles of a parallelogram. They are. Theorem 6.2: Opposite angles of a parallelogram are congruent.

4. Sides and Angles A BC D Solve for x and y.

5. Diagonals and Transversals Theorem 6.3: The diagonals of a parallelogram bisect each other.

6. Theorem Theorem 6.5: If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. Draw diagonal. StatementsReasons 1. 2. 3. 4. 5. 6. 1 2 3 4

7. Theorem Theorem 6.6: If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

8. Theorem 6.7: If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. Theorem

9. Theorem 6.8: If one pair of opposite sides of a quadrilateral is both congruent and parallel, then the quadrilateral is a parallelogram.

10. Applications Find the values of the variables for which the quadrilaterals must be parallelograms.

11. Applications Determine whether you can prove that the quadrilaterals are parallelograms. Justify your answer.

12. 6.2/6.3: Properties of Parallelograms HW: p.315 #1-17 odd, 37-39, 46, 47, 50 p.324 #1-9 odd, 12-16 even eiln pu Can you figure out the puzzle below??? Line up in alphabetical order