Class 8 - Polygon Worksheet 1

1. A polygon in which at least one angle is more than 180° is known as convex polygon. Mark true/ False

a) True b) False

2. A polygon in which each angle is less than 180° is known as a concave polygon. Mark true/ false.

a) True b) False

3. A polygon having all sides equal and all angles equal is known as a regular polygon. Mark True / False.

a) True b) False

4. Square is not a regular polygon. Mark True / False.

a) True b) False

5. Rectangle is a regular polygon. Mark True / False.

a) True b) False

6. Rhombus is an irregular polygon. Mark True/False.

a) True b) False

7. Sum of all exterior angles of a polygon is equal to 180°. Mark True/ False.

a) True b) False

8. Line segment joining any two nonconsecutive vertices of a polygon is known as its diagonal. Mark True/ False.

a) True b) False

9. If a polygon has 'n' sides, then the number of triangles formed will be n − 3. Mark True/False.

a) True b) False

10. A parallelogram can be a regular polygon. Mark True/ False.

a) True b) False

11. If a regular polygon has 12 sides, then find the sum of all its exterior angles.

a) 90° b) 180°
c) 270° d) 360°

12. How many diagonals are there in a pentagon?

a) 4 b) 5
c) 6 d) 7

13. How many diagonals are there in an octagon?

a) 10 b) 15
c) 18 d) 20

14. How many diagonals are there in a polygon having 12 sides?

a) 48 b) 50
c) 54 d) 56

15. A polygon is having 27 diagonals. How many sides does it have?

a) 6 b) 7
c) 8 d) 9

16. A regular polygon is having exterior angle 35°. What will be its interior angle?

a) 120° b) 135°
c) 145° d) 155°

17. A regular polygon having 8 sides, find the exterior angles.

a) 30° b) 45°
c) 55° d) 65°

18. A regular polygon having 12 sides, find the interior angles.

a) 130° b) 30°
c) 150° d) 60°

19. Each interior angle of a regular decagon is equal to _____.

a) 130° b) 144°
c) 150° d) 36°

20. What is the sum of all interior angles of a regular pentagon?

a) 130° b) 540°
c) 450° d) 360°

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