Geometric Shapes

Geometric Shapes

Have you ever heard about tangram?

It's an old Chinese puzzle that is used to make many shapes of animals, people, and things.

The set of 7 pieces shown below is a 7-piece tangram.

The image of 7-piece tangram

You can use these pieces together to make some very interesting shapes.

Interesting shapes of 7-piece tangram

In this mini-lesson, we will learn about geometric shapes definition, geometric shapes examples, geometric shapes list, geometry, and types of geometric shapes in the concept of Geometric shapes.

You can check out the interactive simulations to know more about the lesson and try your hand at solving a few interesting practice questions at the end of the page.

Lesson Plan

What Are Geometric Shapes?

Geometric Shapes: Definition

Geometrical shapes are the figures or objects that we see around us everywhere.

These different shapes of geometry are made up of lines, curves, angles, and surfaces.

The shapes in geometry can be either open or closely bound.

Open Shapes

Lines or curves that do not connect at any one point are called open shapes

Example of open shapes

Closed Shapes

In closed shapes, all the lines and curves are connected with each other.

Example of closed shapes


What Are the Basic Geometric shapes?

Have you noticed the shape of a pizza? It is round in shape.

Pizza is round in shape

If we cut out a slice from the pizza, the slice is triangular in shape.

A slice of pizza in triangular in shape

The handkerchief you carry is square in shape.

a square shaped handkerchief


What Are the Different Types of Geometric Shapes?

Some of the common basic shapes in Maths are listed below.

1. Circle

A circle is a closed two-dimensional figure which is round in shape.

A circle does not have any sides or corners.

How a circle look like.

Can you spot any figure with the shape of a circle around you?

Here are some familiar objects that have the shape of a circle.

Examples of circle 

A square is a two-dimensional shape that consists of four sides which are all equal.

How a square look like.

Can you think of any figure or object that is square in shape?

Do you play chess or carrom?

Imagine the shapes of a chessboard and a carrom board.

You can see that all four sides of these boards are equal.

Thus, they are squares.

Examples of square

3. Triangle

A triangle is a closed two-dimensional shape with three sides.

How a triangle look like.

Do you like nachos?

Have you ever observed the shape of a nacho?

It is triangular in shape.

Have you observed the shape of a slice of pizza?

Do you think it is triangular in shape?

Yes, you are right, it is triangular in shape.  

Examples of triangle in real life

4. Rectangle

A rectangle is a four-sided, two-dimensional shape in which the length of the opposite sides is equal.

How a rectancgle look like.

A square is also a type of rectangle.

Rectangular shape can have two variations in their forms: either the length or the breadth can be greater.

Now look around and identify objects that are rectangular in shape.

Examples of rectangle in real life

5. Oval

An oval is similar to a circle but its shape is slightly elongated in nature.

How an oval look like.

An oval also does not have any sides or corners.

Observe the shape of a badminton racket.    


Example of oval shape

What shape does it have?

Yes, it is an oval!

Experiment with the simulation below to sort the objects according to their shape.


Different Geometric Shapes Formulas with Example Solutions

Geometric Shapes List  

Similar to the shapes described above, there are several two-dimensional shapes in geometry.

Now, let's summarize all of them. 

Two dimensional shapes with number of face and number of sides.

 
important notes to remember
Important Notes
  1. Two-dimensional shapes that have four sides like square, rectangle, kite, trapezoid, etc are called quadrilaterals.
  2. Quadrilateral shapes are four-sided closed figures made with straight lines.
  3. Polygons are closed shapes made of straight lines. They are named after the number of sides they have.Math Notes

Solved Example

Example 1

 

 

How many sides are there in the given shape? 

Is it a closed or open shape?

Number of sides in a star shape

Solution

Count the number of straight lines in the star.

There are \(10\) straight lines.

We can trace the outline of this star without any break.

Hence, it is a closed shape.

It is a closed shape with \(10\) sides.
Example 2

 

 

Sam ordered a sandwich at a restaurant.

He requested the waiter to cut the sandwich into two pieces.

Shape of sandwich eaten by a boy.

What was the shape of those two pieces?

Solution

 The two pieces of the sandwich were cut in the shape of a triangle.

So, it's a triangle shape.
 
Example 3

 

 

Mia and Emma are playing a game where Mia will make a shape using the matchsticks and Emma has to make the same shape without looking at it, but she can ask questions.

This is what Mia draws using matchsticks.

Two girls are playing with matchsticks to draw different shapes

Emma asked her about the number of sides and if it closed or an open shape.

Mia told her that it is a closed shape with 6 sides.

Is this a unique closed shape with 6 sides?

Solution

This is not a unique shape with 6 sides.

Emma can have closed shapes with 6 sides as shown below.

different shapes with 6 sides.

These shapes are not the same as the one made by Mia.

This is because when angles change, shapes also change.

No, it is not a unique closed shape.
Example 4

 

 

What shape is the given figure? How many sides does it have? 

 Quadrilateral Example

Solution

The given shape has 4 sides.

It is a quadrilateral.

 It is a quadrilateral with \(4\) sides.

 

 
Challenge your math skills
Challenging Questions
1. Is the given shape a quadrilateral?
  A shape that is not a quadrilateral
2. How many triangles are there in this figure?
  How many triangles are there in this figure?

Interactive Questions

Here are a few activities for you to practice. Select/Type your answer and click the "Check Answer" button to see the result.

 

 
 
 
 
 
 
 

Let's Summarize

The mini-lesson targeted the fascinating concept of Geometric Shapes. We hope you enjoyed learning about the geometric shapes definition, geometric shapes examples, geometric shapes list, and types of geometric shapes going through various examples and scenarios. 

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Frequently Asked Questions (FAQs)

1. Is a straight line a geometric shape?

Yes, straight line an open geometric shape.

2. What is the name of a 5 sided shape?

A 5-sided shape is called a pentagon.

3. What is a 200 sided shape?

The 200-sided shape is called a dihectogon.

More Important Topics
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