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## Warm up

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**Warm up**x = -7, -2 x = -5, 3 x = 10, -3 Factor & Solve: x2 + 9x + 14 = 0 x2 + 2x -15 = 0 x2 – 7x + 15 =45 • 2. √4 = _____ (this has 2 answers) • √9 = _____ (this has 2 answers) • √3 + √3 = _____ • Use substitution to solve: • y = 3x + 4 and 3x + 2y = 17 2 and -2 3 and -3 2 √ 3 X = 1, y = 7**3.2 Properties of Quadrilaterals**Any four sided polygon is a quadrilateral. We’ll study special quadrilaterals in this section: Trapezoid Trapezium Parallelogram Rhombus Rectangle Square Kite**Properties of a TRAPEZIUM:A quadrilateral with NO parallel**sides. • 2 pair of consecutive congruent sides • Opposite sides are NOT congruent • Diagonals are perpendicular • Notice only ONE diagonal is bisected A special Trapezium is a KITE**Properties of a trapezoid**• A trapezoid has one and only one pair of parallel sides.**supplementary**Properties of parallelograms • Opposite sides of a parallelogram are parallel • Opposite sides are congruent • Opposite angles of a parallelograms are congruent. • Diagonals of a parallelogram bisect each other • Consecutive angles of a parallelogram are supplementary**Properties of a Rhombus (Rhombi)**• A rhombus is a parallelogram (this means it has ALL of the characteristics of a parallelogram) In addition: • A rhombus has four congruent sides • The diagonals of a rhombus are perpendicular • The diagonals bisect opposite angles**Properties of Rectangles**• A rectangle is a parallelogram (this means it has ALL the characteristics of a parallelogram) IN ADDITION: • Four right angles • The diagonals of a rectangle are congruent and they bisect each other**Properties of Squares**• A square is a parallelogram, a rectangle, and a rhombus (It has ALL those characteristics!!!) • Has four congruent sides • Has four right angles • The diagonals of a square: • bisect each other • are congruent • are perpendicular. • Bisect opposite angles**Cut and sort**• Go to the back of the room and get worksheets 2-15A and 2-15B and a pair of scissors • Your instructions are on 2-15B • Have fun Ü • Then complete 2-16