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# Chapter 6: Quadrilaterals - PowerPoint PPT Presentation

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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Presentation Transcript

• 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

6.1: Polygon Angle-Sum Theorems

• Opposite Sides Congruent where “n” is the number of sides the polygon has.

• 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

• 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

• 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