Warm up 1 Factor Solve a x 2

Warm up 1. Factor & Solve: a. x 2 + 9 x + 14 = 0 x = -7, -2 b. x 2 + 2 x -15 = 0 x = -5, 3 c. x 2 – 7 x + 15 =45 x = 10, -3 2. √ 4 = _____ 2 and -2 (this has 2 answers) 3 and -3 3. √ 9 = _____ (this has 2 answers) 2√ 3 4. √ 3 + √ 3 = _____ 5. Use substitution to solve: y = 3 x + 4 and 3 x + 2 y = 17 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

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