What is a parallelogram Definition: a parallelogram is a quadrilateral with both pairs of opposite sides parallel.
Properties of a Parallelogram 1. Opposite sides of a parallelogram are congruent 2. Opposite angles in a parallelogram are congruent 3. Consecutive angles in a parallelogram are supplementary 4. If a parallelogram has one right angle, it has four right angles
Four Tests 1.If both pairs of opposite sides of a quadrilateral are congruent 2.If both pairs of opposite angles of a quadrilateral are congruent 3.If the diagonals of a quadrilateral bisect each other 4.If one pair of opposite sides of a quadrilateral is both parallel and congruent (new)
Problems Problems 4 – 7 page 421 4. No – one pair of opposite sides are not parallel and congruent 5. Yes: Opposite angles are congruent 6. 5y = 2y + 123x – 18 = 2x - 5 3y = 12 → y = 4 x = 13 7. 3x – 17 = 2x + 245y – 6 = y + 58 x = 414y = 64 y = 16