Upgrade to remove ads
Upgrade to remove ads
Upgrade to remove ads

Concave and Convex Polygons

Lesson size:
Message preview:
Someone you know has shared lesson with you:

To play this lesson, click on the link below:

http://www.turtlediary.com/lesson/concave-and-convex-polygons.html

To know more about different lessons, please visit www.turtlediary.com

Hope you have a good experience with this site and recommend to your friends too.

Login to rate activities and track progress.
Login to rate activities and track progress.

Convex Polygons

A convex polygon is a polygon in which every angle is less than 180o.

Concavepoly 1

Concave Polygons

A concave polygon is a polygon in which at least one angle is more than 180o.

Concavepoly 2

Let's go through some examples.

Example 1

 

Is this polygon concave or convex?

Concavepoly 3

This is a concave polygon as two of its angles are more than 180o.

Concavepoly 4

 

Example 2

 

Is this polygon concave or convex?

Concavepoly 5

This is a concave polygon as one of its angles is more than 180o.

Concavepoly 6

 

Example 3

 

Is this polygon concave or convex?

Concavepoly 7

This is a convex polygon as all its angles are less than 180o.

Note:

We know that a diagonal is a line segment connecting two non-consecutive vertices of a polygon.

For example:

Concavepoly 8

This polygon has 5 diagonals.

Notice that polygons that are convex have no portions of their diagonals in their exteriors.

Concavepoly 9 Concavepoly 10

So, we can say that:

If all the diagonals of a polygon lie inside the polygon, then it is a convex polygon.

 

If all the diagonals of a polygon do not lie inside the polygon, then it is a concave polygon.

Summary
  • A convex polygon is a polygon in which every angle is less than 180o.
  • A concave polygon is a polygon in which at least one angle is more than 180o.
  • A diagonal is a line segment connecting two non-consecutive vertices of a polygon.
  • If all the diagonals of a polygon lie inside the polygon, then it is a convex polygon.
  • If all the diagonals of a polygon do not lie inside the polygon, then it is a concave polygon.
Give Feedback
This lesson has been watched 6,623 times.

Explore Even More Ways To Learn!

I'm looking for
about
for
Become premium member to get unlimited access.
Upgrade Member
  • Unlimited access to over thousands of worksheets and activities for all grade levels.
  • Award-winning educational games and videos.
  • Teacher created quizzes with step by step solution.
  • Ad-free experience for children.
  • Unlimited access to Interactive Stories with "Read to me" feature.
  • Informative assessment tools with detailed reports pointing out successes and weak spots.
  • Audio Instructions for all games.
Copyright © 2016, Turtlediary.com. All rights reserved.