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Chapter 6: QuadrilateralsPowerPoint Presentation

Chapter 6: Quadrilaterals

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Chapter 6: Quadrilaterals

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Chapter 6: Quadrilaterals

- 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

- 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

- 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

- 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

- 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

- http://teams.lacoe.edu/documentation/classrooms/amy/geometry/3-4/activities/quad_quest/quad_quest.html