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Vidaara.orgClass 8 · Mathematics
CodeVID-M08-12-TYP-01
Types of Polygons - Assignment
Chapter: Polygons
Topic: Types of Polygons and Their Properties
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
A polygon is a closed figure made of:
  • A.curves
  • B.line segments
  • C.arcs
  • D.points
2.
A pentagon has:
  • A.$4$ sides
  • B.$5$ sides
  • C.$6$ sides
  • D.$7$ sides
3.
A hexagon has:
  • A.$5$ sides
  • B.$6$ sides
  • C.$7$ sides
  • D.$8$ sides
4.
An octagon has:
  • A.$6$ sides
  • B.$7$ sides
  • C.$8$ sides
  • D.$10$ sides
5.
A polygon with all sides and angles equal is:
  • A.irregular
  • B.regular
  • C.concave
  • D.open
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
How many sides does a quadrilateral have?
7.
How many sides does a heptagon have?
8.
A $10$-sided polygon is called a:
9.
Name a $3$-sided polygon.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Name the polygon with $8$ sides.
11.
How many diagonals does a quadrilateral have?
12.
How many diagonals does a pentagon have?
13.
Is a square a regular polygon?
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
Give the name and number of sides for the triangle, quadrilateral, pentagon, hexagon and octagon.
15.
Using $\tfrac{n(n-3)}{2}$, find the number of diagonals of a hexagon and an octagon.

Answer Key

Section A — Multiple Choice Questions
  1. (B) line segments
  2. (B) $5$ sides
  3. (B) $6$ sides
  4. (C) $8$ sides
  5. (B) regular
Section B — Short Answer (2 marks)
  1. $4$.
  2. $7$.
  3. Decagon.
  4. Triangle.
Section C — Short Answer (3 marks)
  1. Octagon.
  2. $2$.
  3. $5$.
  4. Yes.
Section D — Long Answer (5 marks)
  1. $3, 4, 5, 6, 8$ respectively.
  2. Hexagon $9$; octagon $20$.
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