Copyright

What is a Quadrangle? - Definition & Shapes

What is a Quadrangle? - Definition & Shapes
Coming up next: Quadrilateral Lesson for Kids: Definition & Shapes

You're on a roll. Keep up the good work!

Take Quiz Watch Next Lesson
 Replay
Your next lesson will play in 10 seconds
  • 0:03 Definition of a Quadrangle
  • 1:11 The Quadrangle Family Tree
  • 2:18 What Is a Square?
  • 3:01 Lesson Summary
Add to Add to Add to

Want to watch this again later?

Log in or sign up to add this lesson to a Custom Course.

Log in or Sign up

Timeline
Autoplay
Autoplay
Speed
Lesson Transcript
Instructor: Allison Petrovic

Allison has experience teaching high school and college mathematics and has a master's degree in mathematics education.

Did you know that a square can also be classified as a rectangle, and even a quadrangle? What is a quadrangle? You will find out in this fascinating lesson!

Definition of a Quadrangle

To best understand the definition of quadrangle, let's look at the prefix and base word. The prefix of our word is 'quad-' and the base word is 'angle.' Another word for quad is four. So a quadrangle is a shape with four angles. All shapes that have four angles also have four sides. So, all quadrangles are quadrilaterals.

The short definition for a quadrilateral is a shape with four sides! This is the short definition since there are a few details that each shape must have in order to be classified as a quadrangle, or, as it is more frequently called, quadrilateral. To be considered a quadrilateral, the shape must:

  • Have four straight sides
  • Be a flat shape (meaning 2-dimensional)
  • Be a closed figure

Take a look at this picture, and let's identify whether each figure is a quadrilateral or not:


null


The green shape is a quadrilateral since it has four straight sides all of which are in the same dimension, and all sides are connected. The purple shape is not a quadrilateral because it only has 3 sides. The red shape is not a quadrilateral since all sides do not meet: you can see a gap at one corner.

The Quadrangle Family Tree

Let's take a look at another picture. This one shows 6 examples of quadrangles. Remember, these are all types of quadrangles. So, a trapezoid, kite, parallelogram, rhombus, rectangle, and square are all types of quadrilaterals.


null


Trapezoid

The gray shape is a trapezoid, which is a quadrangle with at least one pair of parallel sides. Parallel lines are lines that are the same distance apart and will never meet. I like to think of a trapezoid as the bottom piece of a triangle if you were to rip it in half horizontally.

Kite

The blue shape is a kite, which is a quadrangle with two pairs of congruent sides. Congruent means having the same length. A kite looks like a diamond.

To unlock this lesson you must be a Study.com Member.
Create your account

Register to view this lesson

Are you a student or a teacher?

Unlock Your Education

See for yourself why 30 million people use Study.com

Become a Study.com member and start learning now.
Become a Member  Back
What teachers are saying about Study.com
Try it risk-free for 30 days

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Create an account to start this course today
Try it risk-free for 30 days!
Create An Account
Support