1. 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

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.
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

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