Factor & Solve: x2 + 9x + 14 = 0 x2 + 2x -15 = 0 x2 – 7x + 15 =45 Warm up Factor & Solve: x2 + 9x + 14 = 0 x2 + 2x -15 = 0 x2 – 7x + 15 =45 x = -7, -2 x = -5, 3 x = 10, -3 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. A special Trapezium is a KITE 2 pair of consecutive congruent sides Opposite sides are NOT congruent Diagonals are perpendicular Notice only ONE diagonal is bisected

Properties of a trapezoid A trapezoid has one and only one pair of parallel sides.

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 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