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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

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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
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
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 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
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
chapter 6 review

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

Chapter 6 Review
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