1. Chapter 6: Quadrilaterals

2. Chapter 6: Quadrilerals
In this chapter we will study the characteristics and properties of 6 different kinds of quadrilaterals:
Parallelograms
Trapezoids
Rectangles
Rhombi
Squares
Kites
We will explore the essential characteristics of each of these shapes and use these characteristics to solve problems
MA.912.G.3.1/ MA.912.G.3.3 / MA.912.G.3.4
Chapter 6: Quadrilerals

3. 6.1: Polygon Angle-Sum Theorems
Interior Angles of any polygon follow the formula: 180(n-2) where “n” is the number of sides the polygon has.
The exterior angles of any polygon always add to 360
Textbook Problems:
Page 356 # 15, 16, 17, 27, 29, 30, 31, 45-48
6.1: Polygon Angle-Sum Theorems

5. 6.2 and 6.3: Properties of Parallelograms and proving
Opposite Sides Congruent
Opposite Angles Congruent
Consecutive Angles Supplementary
Diagonals Bisect Each Other
Textbook Questions:
Page 364# 25-27, 28-30, 38-40, 45-48
Page 374# 29-34
6.2 and 6.3: Properties of Parallelograms and proving

6. 6.4 and 6.5: Rhombuses, Rectangles and Squares
Rhombus: a parallelogram with 4 congruent sides, perpendicular diagonals, diagonals bisect opposite angles
Rectangle: a parallelogram with 4 right angles and congruent diagonals
Square: a parallelogram with 4 congruent sides and 4 right angles, perpendicular diagonals, diagonals bisect opposite angles
Textbook Questions:
Page 382#55-61
Page388#32-34, 36-43
6.4 and 6.5: Rhombuses, Rectangles and Squares

7. 6.6 and 6.7: Trapezoids and Kites
Trapezoid has 2 bases and 2 legs. If the legs are equal then the trapezoid is an isosceles trapezoid
The Midsegment of a trapezoid is parallel to and in between the bases. It follows the formula MS= ½(b1+b2)
Isosceles Trapezoid: 2 equal legs, equal diagonals
Kite: 2 pairs of = sides, diagonals are perpendicular
Textbook
Copy Chart Page 393
Page 394 #29-36, 67-70
Page 412#38-40
diagonals bisect opposite angles
6.6 and 6.7: Trapezoids and Kites

8.
Chapter 6 Review