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Vidaara.orgClass 9 · Mathematics
CodeVID-M09-05-EUC-01
Euclid’s Approach to Geometry — Assignment
Chapter: Euclid's Geometry
Topic: Euclid's Approach to Geometry
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.
Euclid's treatise is called:
  • A.Principia
  • B.The Elements
  • C.Almagest
  • D.Sphere
2.
A point has:
  • A.length
  • B.no part
  • C.area
  • D.volume
3.
A line has length but no:
  • A.endpoints
  • B.breadth
  • C.points
  • D.direction
4.
Euclid built geometry from:
  • A.experiments
  • B.axioms and postulates
  • C.measurements
  • D.guesses
5.
A solid has how many dimensions?
  • A.$1$
  • B.$2$
  • C.$3$
  • D.$0$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
How many dimensions does a point have?
7.
How many dimensions does a line have?
8.
How many dimensions does a surface have?
9.
Name Euclid's famous book.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
State Euclid's definition of a point.
11.
State Euclid's definition of a line.
12.
How many dimensions does a solid have?
13.
What forms the boundaries of a surface?
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
Distinguish between an axiom and a postulate as used by Euclid, with one example of each.
15.
State what bounds solids, surfaces and lines respectively.

Answer Key

Section A — Multiple Choice Questions
  1. (B) The Elements
  2. (B) no part
  3. (B) breadth
  4. (B) axioms and postulates
  5. (C) $3$
Section B — Short Answer (2 marks)
  1. $0$.
  2. $1$.
  3. $2$.
  4. The Elements.
Section C — Short Answer (3 marks)
  1. That which has no part.
  2. Breadthless length.
  3. $3$.
  4. Lines (or curves).
Section D — Long Answer (5 marks)
  1. Axiom = common notion (general truth, e.g. "things equal to the same thing are equal"); postulate = a geometric assumption (e.g. "a line can be drawn between any two points").
  2. Solids are bounded by surfaces, surfaces by curves/lines, and lines by points.
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