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

2. 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

3. 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

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

5. 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

6. 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

7. 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

8. 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

9. 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