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

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Chapter 6: Quadrilaterals

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Chapter 6 quadrilaterals

Chapter 6: Quadrilaterals


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.html

Chapter 6 Review


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