Different Types Of Polygons Worksheet With Answers And Key Properties
In geometry, a polygon is a plane 2 - dimensional figure that is made by a finite number of straight line segments. A polygon has infinite number of sides. There are many different types of polygons, for example, hexagon, concave polygon, decagon, quadrilateral, etc.
Questions:
1. What are the different types of polygons ?
2. What is a 10−sided polygon called ?
an image of 10-sided polygon
3. What do you understand about quadrilateral polygons ?
4. Which type of polygons are given in the following pictures ?
an image of a polygon
an image of a polygon
5. Give two examples of a convex polygon ?
6. Explain the types of polygons based on side length?
7. How many sides does an octagon have ?
8. What is a regular polygon ?
9. Fill in the following blanks.
The maximum number of sides that a polygon can have is ________.
Any triangle is a ______ sided polygon.
A simple closed figure which is made up of only line segments what will be it called as ________.
[three,polygon, infinite]
10. Are circles polygons?
11. Define concave polygon ?
an image of concave polygon
12. Draw the shapes of : Rectangle and Pentagon.
13. Are the following given figures polygons ?
two images of open figures
14. Which type of polygons are given in the following pictures ?
two images of polygons
15. What type of polygon has 12 sides ?
Answers -
1.
Regular polygon, Irregular polygon, Convex polygon, Concave polygon, Triangle, Quadrilateral polygon, Pentagon polygon, Hexagon polygon, Equilateral polygon, Equiangular polygon, etc.
2.
10 sided polygon called a Decagon.
3.
A polygon with 4 sides and 4 vertices is known as a quadrilateral polygon. The different types of quadrilateral polygons are parallelogram, square, rectangle , etc.
4.
an image of heptagon
an image of nonagon
5.
The two examples of a convex polygon are Pentagon and Hexagon.
6.
There are two Types of Polygons classified based on their side lengths are,
[a] Regular Polygons: A Regular Polygon is a Polygon that is both equiangular and equilateral.
For examples: Equilateral Triangle and Square
[b] Irregular Polygons: Irregular Polygons are polygons that are not regular.
For examples: Rectangle and Rhombus
7.
An octagon has 8 sides.
8.
A regular polygon is a polygon whose all the 6 sides and interior angles are equal. For example, the number of sides of a regular hexagon is 6 and its interior angle is equal to 180 degrees.
9.
The maximum number of sides that a polygon can have is infinite.
Any triangle is a three sided polygon.
A simple closed figure which is made up of only line segments what will be it called as polygon.
10.
Circles are formed with curved lines, and they do not have sides. So, circles are not polygons.
11.
In a concave polygon, the measure of any one of the concave polygons is more than 180°. The vertices of the concave polygon are either outwards or inwards.
12.
an image of rectangle
an image of pentagon
13.
No, the given two figures are not polygons.
14.
an image of octagon
an image of hexagon
15.
Dodecagon has 12 sides.
What are the Types of Polygon?
There are Different Types of Polygons that kids should learn to recognize. By studying the features of these polygons, they can implement the knowledge and find out which polygon they are looking at.
Do you know?
There are two types of polygons. Regular polygons have equal sides and angles. Irregular polygons, on the other hand, have sides and angles that are not equal to each other. It means a triangle can be regular and irregular based on the dimensions of the sides and angles in it.
Importance of Different Types of Polygons Worksheet
To understand the Types of Polygon, you will have to study the chapters well and concentrate on the fundamental principles of this topic. When you learn to count the sides, you can easily determine the name of the polygon. To keep practising such concepts and learn more about polygons, solve this worksheet.
This worksheet contains the ideal questions depicting the fundamental mathematical principles related to polygons. Hence, solving these questions will enable students to learn and focus on these principles and strengthen their conceptual foundation.
Benefits of Solving Types of Polygon
Answering questions becomes a lot easier when you have an idea of the topic. Developing the idea for this topic is easier when you study and solve the worksheet.
The questions will help you understand the principles of polygons well. You will also find out the different Kinds of Polygons along with their names.
Check how the questions have been answered by the experts. The explanation of these answers will resolve your doubts related to polygons in no time.
Download Types of Polygon Worksheet PDF
Get the free PDF version of this worksheet and make your practice sessions more productive at home. Solve all the questions and refer to the solution to find out where you need to focus more.
FAQs on Different Types Of Polygons Worksheet For Practice And Revision
1. What is a polygon in maths?
A polygon is a closed 2D shape made up of straight line segments joined end to end. In geometry, polygons must have:
- Straight sides (no curves)
- At least three sides
- A fully closed figure
2. What are the different types of polygons?
The different types of polygons are classified based on the number of sides and their properties. Common types include:
- Triangle – 3 sides
- Quadrilateral – 4 sides
- Pentagon – 5 sides
- Hexagon – 6 sides
- Heptagon – 7 sides
- Octagon – 8 sides
3. What is a regular polygon?
A regular polygon is a polygon in which all sides and all interior angles are equal. Key features include:
- Equal side lengths
- Equal angle measures
- Symmetrical shape
4. What is an irregular polygon?
An irregular polygon is a polygon where the sides and/or interior angles are not all equal. This means:
- Side lengths may differ
- Angle measures may differ
5. How do you find the sum of interior angles of a polygon?
The sum of interior angles of a polygon is calculated using the formula (n − 2) × 180°, where n is the number of sides. Steps:
- Count the number of sides (n)
- Subtract 2 from n
- Multiply the result by 180°
6. How do you find each interior angle of a regular polygon?
Each interior angle of a regular polygon is found using [(n − 2) × 180°] ÷ n. Steps:
- Find the sum of interior angles
- Divide by the number of sides (n)
7. What is the difference between a convex and a concave polygon?
A convex polygon has all interior angles less than 180°, while a concave polygon has at least one interior angle greater than 180°. Key differences:
- Convex: No indentations, all vertices point outward
- Concave: Has an inward “dent”
8. How many diagonals does a polygon have?
The number of diagonals in a polygon is given by the formula n(n − 3) ÷ 2, where n is the number of sides. Steps:
- Multiply n by (n − 3)
- Divide by 2
9. Can you give an example of classifying polygons by number of sides?
Polygons are classified by counting their sides and using the correct geometric name. Examples:
- 3 sides → Triangle
- 4 sides → Quadrilateral
- 5 sides → Pentagon
- 6 sides → Hexagon
10. What are common mistakes when identifying different types of polygons?
Common mistakes when identifying polygons include miscounting sides and confusing regular and irregular shapes. Students often:
- Count angles instead of sides
- Include curved shapes (which are not polygons)
- Assume all polygons are regular
