# MAT 157 Section 10.5 - PowerPoint PPT Presentation

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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 157 Section 10.5

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## MAT 157Section 10.5

Judy Sutor

Scottsdale Community College

### Learning Objectives

• Define and name polygons

• 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?

• 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.

### 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