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MAT 157 Section 10.5. Judy Sutor Scottsdale Community College. Learning Objectives. Define and name polygons Define triangles and quadrilaterals Compare and contrast properties of different quadrilaterals. Organize Quadrilaterals with a Venn Diagram. Polygons.
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MAT 157Section 10.5 Judy Sutor Scottsdale Community College
Learning Objectives • Define and name polygons • Define triangles and quadrilaterals • Compare and contrast properties of different quadrilaterals. • Organize Quadrilaterals with a Venn Diagram
Polygons A polygon is a closed connected shape in a plane consisting of a finite number of line segments that do not cross each other.
Geo-boards • Everyone make a triangle • What kinds of triangles do you know? • Make a quadrilateral • What kinds of quadrilaterals do you know? • Make a pentagon • Make a hexagon • Make an octagon • Make an n-gon
Triangle and Quadrilaterals • Triangle – a closed shape in a plane that consists of 3 line segments • Right triangle • Isosceles triangle • Equilateral triangle • Isosceles right triangle • Quadrilateral – a closed shape in a plane that consists of 4 line segments • What kinds of quadrilaterals do you know? • Square • Rectangle • Rhombus • Parallelogram • Trapezoid
Special Quadrilaterals • All of the figures are quadrilaterals but fall into different categories based on other properties.
Compare and Contrast • Use the information below for Activity 10Y page 262.
Venn Diagram • Venn diagrams are a convenient way to show how collections of items are related. • Let’s think about a Venn diagram that relates the set of even numbers from 1-20, the set of multiples of 4 from 1-20, and the set of factors of 20. • Create a Venn diagram that relates the set of whole numbers, the set of integers, the set of rational numbers, the set of irrational numbers, and the set of integers • Activity 10Z – Venn Diagrams Relating Quadrilaterals