Classification of curves Simple, not closed Simple, closed Closed, - PowerPoint PPT Presentation

Classification of curves Simple, not closed Simple, closed Closed, not simple Not simple, not closed MA202 Sections 5 & 401 Chapter 11-2 Slides

Interior and exterior of a simple closed curve MA202 Sections 5 & 401 Chapter 11-2 Slides

Jordan Curve Theorem MA202 Sections 5 & 401 Chapter 11-2 Slides

Example 11.7 Is the red dot interior or exterior to each curve? MA202 Sections 5 & 401 Chapter 11-2 Slides

Example 11.7 - Determining Interior Points Is the red dot interior or exterior to each curve? MA202 Sections 5 & 401 Chapter 11-2 Slides

Jordan Curve Theorem MA202 Sections 5 & 401 Chapter 11-2 Slides

Example 11.8 - Counting Regions in the Plane MA202 Sections 5 & 401 Chapter 11-2 Slides

Example 11.8 - Counting Regions in the Plane MA202 Sections 5 & 401 Chapter 11-2 Slides

Convex Regions MA202 Sections 5 & 401 Chapter 11-2 Slides

Concave Regions MA202 Sections 5 & 401 Chapter 11-2 Slides

Classification of Polygonal Curves Simple polygonal Nonsimple polygonal Nonsimple closed curve curve polygonal curve MA202 Sections 5 & 401 Chapter 11-2 Slides

Classification of Polygonal Curves Nonconvex polygon Convex polygon Polygonal region MA202 Sections 5 & 401 Chapter 11-2 Slides

Names of Polygons Triangle Quadrilateral Pentagon MA202 Sections 5 & 401 Chapter 11-2 Slides

Names of Polygons Hexagon Heptagon Octagon MA202 Sections 5 & 401 Chapter 11-2 Slides

Names of Polygons Nonagon Decagon 12-gon MA202 Sections 5 & 401 Chapter 11-2 Slides

Angles in a convex polygon MA202 Sections 5 & 401 Chapter 11-2 Slides

Sum of Angle Measures in a Convex Polygon MA202 Sections 5 & 401 Chapter 11-2 Slides

Example 11.9 - Finding the Angles in a Pentagonal Arch Find the measures of 3 x , 8 x , y and z . MA202 Sections 5 & 401 Chapter 11-2 Slides

Sum of Interior Angle Measures of a General Polygon MA202 Sections 5 & 401 Chapter 11-2 Slides

Example 11.10 - Measuring the Angles in a Star MA202 Sections 5 & 401 Chapter 11-2 Slides

Total Turns Theorem MA202 Sections 5 & 401 Chapter 11-2 Slides

Example 11.11 - Finding Total Turns MA202 Sections 5 & 401 Chapter 11-2 Slides

Example 11.11 - Finding Total Turns MA202 Sections 5 & 401 Chapter 11-2 Slides

Classifying Triangles Acute Right Obtuse MA202 Sections 5 & 401 Chapter 11-2 Slides

Classifying Triangles Scalene Isosceles Equilateral MA202 Sections 5 & 401 Chapter 11-2 Slides

Example 11.12 - Classifying Triangles Classify each triangle: △ ABC , △ ACD , △ ACE , △ AED , △ AFE and △ CDE MA202 Sections 5 & 401 Chapter 11-2 Slides

Example 11.12 - Classifying Triangles MA202 Sections 5 & 401 Chapter 11-2 Slides

Example 11.12 - Classifying Triangles O & I R & S A & E R & S O & I O & I MA202 Sections 5 & 401 Chapter 11-2 Slides

Classifying Quadrilaterals Kite Trapezoid Isosceles trapezoid MA202 Sections 5 & 401 Chapter 11-2 Slides

Classifying Quadrilaterals Parrallelogram Rhombus Rectangle Square MA202 Sections 5 & 401 Chapter 11-2 Slides

Classifying Quadrilaterals MA202 Sections 5 & 401 Chapter 11-2 Slides

Equilateral, Equiangular and Regular Equilateral Equiangular Regular MA202 Sections 5 & 401 Chapter 11-2 Slides

Interior, Exterior and Central Angles MA202 Sections 5 & 401 Chapter 11-2 Slides

Circles MA202 Sections 5 & 401 Chapter 11-2 Slides

Discussion Questions Can a line cross a simple closed curve 99 times? Draw the figures that satisfy the given description: A nonsimple closed four-sided polygonal curve A concave pentagon An equiangular quadrilateral A convex octagon Decide if each of the following statements are true or false: Rectangles are always squares. Squares are always rectangles. Rhombuses are never squares. Trapezoids are sometimes squares. MA202 Sections 5 & 401 Chapter 11-2 Slides

Homework Homework 5 (due 3/9/10): Section 11.1 #1, 4, 11, 15, 17, 21, 45 Section 11.2 #1, 4, 6, 7, 16, 17, 18, 20, 22 MA202 Sections 5 & 401 Chapter 11-2 Slides