What Is a Rhombus? - Definition and Properties

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  • 0:06 What Is a Rhombus?
  • 1:12 A Quadrilateral
  • 1:34 A Parallelogram
  • 2:12 Angle Properties
  • 3:20 Lesson Summary
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Lesson Transcript
Instructor: Yuanxin (Amy) Yang Alcocer

Amy has a master's degree in secondary education and has taught math at a public charter high school.

Watch this video lesson to learn why rhombuses are a special type of quadrilateral. Also, learn why a rhombus is also a parallelogram. Watch as we explore the sides and angles of a rhombus.

What is a Rhombus?

What is a rhombus? It is simply a four-sided flat shape whose sides are all the same length and whose opposite sides are parallel. Try to picture this in your head or, better yet, go get four toothpicks. Pause the video if you need some time to get the toothpicks. Place the four toothpicks on a flat surface. Start by moving two toothpicks so that they are parallel to each other. Then, connect the other two toothpicks so that it closes your shape. You may have to move the first toothpick you placed to allow room for the side toothpicks to fit. Just keep in mind that you want to keep your sides parallel to each other.

Congratulations! You have just created a rhombus! Do you see how all the sides are the same length? Also, do you see how the opposite sides of the rhombus are parallel to each other? Try moving the toothpicks around but keeping the sides parallel to each other and all the ends touching each other. All these other shapes that you come up with are still rhombuses.

A Quadrilateral

All rhombuses fall under the category of quadrilaterals, a flat shape with four sides. What makes rhombuses special is that all four of the sides are all the same length. If you are given the length of just one side of a rhombus, then you also know the measurement of all the other sides because of this property. This is the identifying property of a rhombus.

A Parallelogram

Another identifying property of a rhombus is that the opposite sides are parallel to each other. Because of these two identifying properties, a rhombus also falls under the category of a parallelogram, a four-sided flat shape whose opposite sides are parallel and of equal length. Yes, all rhombuses are parallelograms, but not all parallelograms are rhombuses. This is because the definition of a parallelogram is more lenient than that of a rhombus, so you can have parallelograms where not all four sides are equal in length to each other.

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