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Presentation transcript:

Please take Module 9 from the ChromeBook cart.

p. 419 3 Conjectures About Parallelograms: Opposite sides of a parallelogram are congruent. Opposite angles of a parallelogram are congruent The diagonals of a parallelogram bisect each other

(First find x)

Def. of a parallelogram: - A quadrilateral with 2 pairs of parallel sides. If a quadrilateral is a parallelogram then. . . - Opposite sides are congruent - Opposite angles are congruent - Diagonals bisect each other

Find all the missing angles in the parallelogram. Same-side Interior Angle Postulate – If lines are parallel, same-side int. angles are supplementary.

Use the parallelograms to find the following: 1) If mBCD = 125, find mBAD. 2) If mABC = 50, find mBCD. 3) If AB = 5x – 3 and CD = 2x + 9, find AB. 4) If mBCD = x + 40 and mBAD = 3x – 12, find mBAD. 5) Find x and y. 125 130 17 66 x = 20, y = 12