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

Sides and Angles Theorem 6.1: Opposite sides of a parallelogram are congruent. StatementsReasons

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.

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

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

Theorem Theorem 6.5: If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. Draw diagonal. StatementsReasons

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

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

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

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

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

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