Classifying Concave and Convex Polygons

Created from Youtube video: https://www.youtube.com/watch?v=g8Y_0BrWIlAvideo

Concepts covered:concave polygon, convex polygon, vertices, diagonals, interior angles

This video teaches how to classify polygons as either concave or convex. It explains the differences between the two types using examples and real-life applications, and provides methods to identify them based on vertices, lines, diagonals, and interior angles.

Table of Contents1.Understanding Concave and Convex Polygons 2.Understanding Convex and Concave Polygons

chapter

Understanding Concave and Convex Polygons

Concepts covered:concave polygon, convex polygon, vertices direction, line segments, real-life applications

The chapter explains the differences between concave and convex polygons, providing examples and real-life applications. It also describes methods to identify these polygons based on the direction of their vertices and the extension of their line segments.

Question 1

A concave polygon has at least one vertex pointing inward.

Question 2

How can you identify a concave polygon?

Question 3

Which polygon type is used in logos?

Question 4

CASE STUDY: A graphic designer is creating a new logo for a tech company. The logo needs to incorporate both concave and convex polygons for visual appeal.

All of the following are true about concave polygons except...

Question 5

CASE STUDY: A software developer is creating a new game that involves identifying different polygon shapes. The game needs to teach players to distinguish between concave and convex polygons.

Select three correct ways to identify convex polygons.

chapter

Understanding Convex and Concave Polygons

Concepts covered:convex polygon, concave polygon, interior angles, diagonals, reflex angle

This chapter explains the differences between convex and concave polygons, focusing on the orientation of vertices, the measurement of interior angles, and the position of diagonals. It provides visual demonstrations and definitions to help understand these concepts, emphasizing that convex polygons have all interior angles less than 180 degrees, while concave polygons have at least one interior angle greater than 180 degrees.

Question 6

All diagonals of a concave polygon are inside the polygon.

Question 7

How do you identify a concave polygon?

Question 8

What is a key feature of a concave polygon?

Question 9

CASE STUDY: You are creating a computer graphics program that generates random polygons. You need to classify each polygon as either convex or concave.

All of the following are correct applications of concave polygon properties except:

Question 10

CASE STUDY: You are teaching a class about polygons and you draw a decagon on the board. You want to demonstrate the properties of a convex polygon.

Select three correct properties of this decagon:

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