Quadrilaterals (Rhombus, Parallelogram, Trapezoid)

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Quadrilaterals (Rhombus, Parallelogram, Trapezoid)
CCSS.MATH.CONTENT.3.G.A.1

Basics on the topic Quadrilaterals (Rhombus, Parallelogram, Trapezoid)

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Quadrilaterals (Rhombus, Parallelogram, Trapezoid)

Nico and Nia have snuck into a candy factory, where they set off a machine. Candy comes down a machine in different shapes, and they need to sort these into the correct boxes to avoid trouble! They learn about the rhombus shape, parallelogram shape, and trapezoid shape. This means they are able to avoid trouble because they now know the characteristics of a rhombus, the characteristics of a parallelogram, and the characteristics of a trapezoid!

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What is a Parallelogram Shape?

Parallelogram definition geometry: A parallelogram is a quadrilateral with two pairs of parallel sides.

Parallelogram Properties

The properties of a parallelogram are:

  • Opposite angles are equal
  • Two pairs of parallel sides

The following illustration shows a parallelogram example with properties.

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Questions and Answers about Parallelograms

Below you will find some common questions about parallelograms, with answers!

  • What does a parallelogram look like? A parallelogram is a quadrilateral with opposite angles that are equal, and two pairs of parallel sides.
  • How many sides does a parallelogram have? A parallelogram is a quadrilateral, which means it has four sides.
  • Does a parallelogram have four right angles? A parallelogram CAN have four right angles, as long as all the properties of a parallelogram are met.

What is a Rhombus Shape?

Rhombus definition geometry: A rhombus is a quadrilateral with all sides equal in length.

Rhombus Properties

The properties of a rhombus are:

  • Opposite angles are equal
  • Four sides are ALL equal in length
  • Two pairs of parallel sides

The following illustration shows a rhombus example with properties.

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Questions and Answers about Rhombuses

Below you will find some common questions about rhombuses, with answers!

  • Is a rhombus a parallelogram? A rhombus is a parallelogram because it has two pairs of opposite sides.
  • How many sides does a rhombus have? A rhombus has four sides.
  • Is a rhombus a quadrilateral? A rhombus is a quadrilateral because it has four sides.
  • Does a rhombus have right angles? A rhombus CAN have right angles, but it doesn’t always need to have a right angle to be a rhombus.

What is a Trapezoid Shape?

Trapezoid definition geometry: A trapezoid is a quadrilateral with one pair of parallel sides.

Trapezoid Properties

The attributes of a trapezoid are:

  • One pair of parallel sides

The following illustration shows a trapezoid example with properties.

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Questions and Answers about Trapezoids

Below you will find some common questions about trapezoids, with answers!

  • Is a trapezoid a parallelogram? A trapezoid is not a parallelogram because it only has one pair of parallel sides, and a parallelogram must have two pairs of parallel sides.
  • How many pairs of parallel sides does a trapezoid have? A trapezoid has only one pair of parallel sides.

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Transcript Quadrilaterals (Rhombus, Parallelogram, Trapezoid)

Nico and Nia are on a mission to sneak into a candy factory. Luckily, they find an open window, so they climb inside. Nico spots a big button in the factory, but what is it for? No Nico, you probably shouldn't. Oh look, now there's different shaped candy coming out of the machine. Nico and Nia need to learn about parallelograms, rhombuses, and trapezoids so they can sort the candy into the correct boxes to avoid trouble. Quadrilaterals (Parallelogram, Rhombus, Trapezoid). A Parallelogram, Rhombus, and Trapezoid are all quadrilaterals. A quadrilateral is a polygon with four straight sides. Parallelograms, rhombuses, and trapezoids are quadrilaterals that can be identified by their attributes, or properties. Let's learn about the attributes of parallelograms before we help Nico and Nia. As you can see, a parallelogram can take many forms, like these shapes here. What is an attribute you notice parallelograms have? All parallelograms have opposite angles that are equal. These two angles are opposite and equal, and so are these two. Parallelograms also have two pairs of parallel sides. Parallel lines never intersect, or cross each other. These two lines are parallel, and these two lines. Parallelograms include rectangles and squares to name some shapes that have two pairs of parallel sides. Now let's take a look at a rhombus. What attributes do we notice a rhombus has? Rhombuses have opposite angles that are equal. These two angles are opposite and equal, and so are these two. Rhombuses also have four sides all equal in length. These four sides are all equal in length. Finally, a rhombus also has two pairs of parallel sides. These two lines are parallel, and the same here. This means a rhombus can also be a parallelogram because it has two pairs of parallel sides. Let's take a look at our last shape, a trapezoid. What attributes can you identify here? Trapezoids have only one pair of parallel sides. Can you find the parallel sides? These two lines are parallel because they do not cross or intersect. Trapezoids are not a type of parallelogram because these two sides will eventually intersect, or cross one another. A trapezoid is a type of quadrilateral, because it has four sides. Now we can identify parallelograms, rhombuses, and trapezoids based on their properties, or attributes. Let's help Nico and Nia sort the three candy shapes before they cause a problem. First, we will start with this one. What attributes do we notice? It has opposite angles that are equal, and two pairs of parallel sides but they are not all equal in length. Which box should it go in? It needs to go in the parallelogram box. Let's take a look at the second candy shape. What attributes do you notice here? It has only one pair of parallel sides because these two sides will eventually intersect. Based on the attribute we identified, which box should this candy go in? It needs to go in the trapezoid box, because a trapezoid has only one pair of parallel sides. Finally, we can sort the last shape. What attributes do you notice? It has opposite angles that are equal. It also has four sides all equal in length, plus two pairs of parallel sides. Which box should this one go in? It goes in the rhombus box because a rhombus has opposite angles that are equal, and four equal sides that are parallel. Remember, parallelograms, rhombuses, and trapezoids are quadrilaterals. Parallelograms have opposite angles that are equal and two pairs of parallel sides. Rhombuses have opposite angles that are equal and two pairs of parallel sides. They also have four sides all equal in length. Trapezoids have only one pair of parallel sides. Phew, we helped Nico and Nia just in time. "Nia, don't put your hand too close to that machine!" Uh oh, too late. I wonder where Nia will end up? Wait, what is Nico doing? "You're definitely not the right shape for this, Nia!"