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CBSE Class 7  >  Class 7 Notes  >  Know Your Aptitude Class 6 To 8  >  Worksheet: Polygons

Worksheet: Polygons

Section A: Fill in the Blanks

Q1: The sum of the interior angles of a polygon with n sides is given by the formula _________.

Q2: A polygon with three sides is called a _________.

Q3: In a regular polygon, all sides and angles are _________.

Q4: A polygon with six sides is called a _________.

Q5: The sum of the exterior angles of any polygon is always _________.

Section B: Match the Column

Section B: Match the Column

Section C: True or False

Q1: The sum of the interior angles of a triangle is 180 degrees. _________

Q2: A regular polygon can have an odd number of sides. _________

Q3: The sum of the interior angles of a hexagon is 720 degrees. _________

Q4: A quadrilateral has four equal angles. _________

Q5: The sum of the exterior angles of any polygon is 360 degrees. _________

Section D: Angles in Polygons

Q1: Find the sum of the interior angles of a polygon with 10 sides.

Q2: If the sum of the interior angles of a polygon is 1440 degrees, how many sides does the polygon have?

Q3: The measure of each interior angle of a regular hexagon.

Q4: The measure of each exterior angle of a regular pentagon.

Q5: The sum of the interior angles of a polygon is 2340 degrees. How many sides does the polygon have?

You can access the solutions to this worksheet here.

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FAQs on Worksheet: Polygons

1. What are the main types of polygons?
Ans. The main types of polygons include triangles, quadrilaterals, pentagons, hexagons, heptagons, and octagons. Polygons can be classified based on the number of sides they have, and they can also be categorized as regular (all sides and angles are equal) or irregular (sides and angles are not equal).
2. How do you calculate the interior angles of a polygon?
Ans. The sum of the interior angles of a polygon can be calculated using the formula (n - 2) × 180 degrees, where n is the number of sides in the polygon. For example, a hexagon (6 sides) has interior angles that sum to (6 - 2) × 180 = 720 degrees.
3. What is the difference between regular and irregular polygons?
Ans. A regular polygon has all sides and angles equal, while an irregular polygon does not. For instance, a square is a regular polygon because all its sides and angles are equal, whereas a rectangle is an irregular polygon because its sides are equal but its angles are not.
4. Can you give examples of real-life shapes that are polygons?
Ans. Yes, several real-life objects are polygons. For example, a stop sign is an octagon, a piece of paper is typically a rectangle (quadrilateral), and a triangular road sign is a triangle. These shapes are useful in various applications, including traffic signs and architectural designs.
5. How are polygons used in geometry and daily life?
Ans. In geometry, polygons are fundamental shapes used to study properties such as area, perimeter, and angles. In daily life, polygons are used in design, architecture, and art, as well as in technology, such as computer graphics and animations where shapes are modeled using polygons.
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Apr 21, 2026 Last updated
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