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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

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

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

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