Definition properties and real life examples of elementary shapes
In our everyday life, we come across various objects which are of different shapes and sizes. A pencil you use is in the form of a straight line while the biscuit you ate for breakfast was in the form of a circle.
So, each distinct shape must be recognised at first for which our understanding elementary shapes class 6 NCERT notes will be more than helpful for you. In this article, we provide a concise guide on how to differentiate among all the shapes which are present around you.
Line Segments
A line segment is a figure which has two ends and is straight. Here are some examples of line segments.
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How to Measure Line Segments?
Now that you know what line segments look like, another important topic for understanding elementary shapes class 6th is how to measure them.
You can measure the length of a line using a ruler. Simply, put the zero reading of the ruler on one end of the line and mark the reading where the line has ended. The marked reading is the length of the line.
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You can also use a divider along with a ruler for better measurements. Use a ruler the same way as the above figure. Put one end of the divider at A and another at l. Now, measure again via ruler how much the two arms of the divider are apart. This reading is the length of your line.
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Right Angles and Straight Angles
Another important topic for understanding elementary shapes in maths is the concept of right angles and straight. For example, let’s understand this with help of the four directions. Below is a figure with directions mentioned.
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In the above diagram, a right angle of 90 degrees is formed when we move from north N to east E.
A straight angle of 180 degrees is formed when we move from west W to east E.
A complete angle of 360 degrees is formed when we move from north N and come back to north N.
There are three different types of angles.
Types of Angles
Pop Quiz 1
Which of these is a reflex angle?
How to Measure Angles?
We have already seen the definitions of all types of angles. Now it’s time to learn how to measure them to broaden our knowledge on understanding elementary shapes.
Measurement of an angle is done with the help of a protractor. A protractor is an instrument provided with geometry boxes.
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The correct way to measure an angle with a protractor is as follows:
Place the protractor in a way such that the middle vertex of the angle (here, B) comes at one end of the 90-degree line on your protractor, as shown above.
Now, make sure that the horizontal line BC of the angle is coinciding with the baseline of your protractor.
The line which then coincides with line AB of the angle is the degree value of angle ABC, which is 72 degrees in the above example.
Types of Triangles
Triangles are geometrical figures which are enclosed with help of three-line segments, and they are essential for class 6 understanding elementary shapes.
There are many types of triangles, categorised depending on two factors – length of the sides and measure of the angles.
Classification of Triangles Based on Side Lengths
Classification of Triangles Based on Angle Lengths
Now that we have understood all the basic elementary shapes, we hope that your understanding elementary shapes class 6 will be a breeze now.
For more on NCERT class 6 understanding elementary shapes, refer to our comprehensive range of free study material, reference notes and questions on understanding elementary shapes for class 6. Download the Vedantu app today!
FAQs on Understanding Elementary Shapes in Geometry
1. What are elementary shapes in mathematics?
Elementary shapes are basic geometric figures such as circles, triangles, squares, and rectangles that form the foundation of geometry. These shapes are introduced in early mathematics to help students understand size, area, perimeter, and spatial relationships. Common elementary shapes include:
- Circle
- Triangle
- Square
- Rectangle
- Polygon
2. What is the difference between a 2D shape and a 3D shape?
A 2D shape has length and width, while a 3D shape has length, width, and height. In geometry:
- 2D shapes are flat figures like circle, square, triangle.
- 3D shapes are solid objects like cube, sphere, cylinder.
3. What is a polygon in elementary geometry?
A polygon is a closed 2D shape made up of three or more straight line segments. Important properties include:
- All sides are straight lines.
- The figure is closed.
- It has vertices (corners).
4. What is the formula for the area of a rectangle?
The formula for the area of a rectangle is Area = length × breadth. To calculate:
- Measure the length (l).
- Measure the breadth (b).
- Multiply: A = l × b.
5. How do you find the perimeter of a square?
The perimeter of a square is calculated using Perimeter = 4 × side. Since all sides of a square are equal:
- Measure one side (s).
- Multiply by 4.
6. What is the area formula for a triangle?
The area of a triangle is given by Area = ½ × base × height. Steps to calculate:
- Measure the base (b).
- Measure the perpendicular height (h).
- Apply formula: A = ½ × b × h.
7. What are the properties of a circle?
A circle is a 2D shape where all points are at an equal distance from the center. Key properties include:
- The fixed distance is called the radius (r).
- Diameter = 2 × radius.
- Area = πr².
- Circumference = 2πr.
8. What is the difference between a square and a rectangle?
A square has all four sides equal, while a rectangle has only opposite sides equal. Comparison:
- Square: All sides equal, all angles 90°.
- Rectangle: Opposite sides equal, all angles 90°.
9. How do you calculate the area of a circle?
The area of a circle is calculated using Area = πr². Steps:
- Measure the radius (r).
- Square the radius (r²).
- Multiply by π (≈ 3.14).
10. Why are elementary shapes important in mathematics?
Elementary shapes are important because they form the foundation of geometry and measurement. They help students:
- Understand area, perimeter, and volume.
- Develop spatial reasoning skills.
- Solve real-life problems involving land, buildings, and objects.
