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# MAT 157 Section 10.5 - PowerPoint PPT Presentation

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

• Define and name polygons

• Compare and contrast properties of different quadrilaterals.

• Organize Quadrilaterals with a Venn Diagram

A polygon is a closed connected shape in a plane consisting of a finite number of line segments that do not cross each other.

• Everyone make a triangle

• What kinds of triangles do you know?

• What kinds of quadrilaterals do you know?

• Make a pentagon

• Make a hexagon

• Make an octagon

• Make an n-gon

• 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

• All of the figures are quadrilaterals but fall into different categories based on other properties.

• Use the information below for Activity 10Y page 262.

• 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