Online Test — Introduction to Euclid's Geometry
10 Questions • 15 min • Chapter MCQ
15:00
Question 1 of 10
medium
Euclid is known as the:
Father of Algebra
Father of Geometry
Father of Calculus
Father of Trigonometry
Explanation: He wrote "The Elements" and systematized geometry
Question 2 of 10
medium
How many postulates did Euclid propose?
3
4
5
6
Explanation: Euclid stated 5 postulates in "The Elements"
Question 3 of 10
medium
Which of the following is an axiom?
All right angles are equal
A straight line may be drawn between two points
Things equal to same thing are equal
A circle can be drawn with any center
Explanation: Axioms are common notions; this is Euclid's first axiom
Question 4 of 10
medium
Playfair's axiom is equivalent to which postulate?
First
Second
Third
Fifth
Explanation: Playfair's axiom states exactly one parallel through a point
Question 5 of 10
medium
Which Euclid's axiom states "The whole is greater than the part"?
Axiom 1
Axiom 3
Axiom 4
Axiom 5
Explanation: Axiom 5 expresses part-whole relationship
Question 6 of 10
medium
In hyperbolic geometry, how many lines parallel to a given line through a point not on it?
0
1
2
Infinitely many
Explanation: Hyperbolic geometry has infinitely many parallels
Question 7 of 10
medium
According to Euclid's definition, a line has:
Length only
Breadth only
Length and breadth
No dimensions
Explanation: Euclid defined line as "breadthless length"
Question 8 of 10
medium
Which postulate allows extension of a finite straight line?
First
Second
Third
Fourth
Explanation: Postulate 2: finite line can be extended continuously
Question 9 of 10
medium
In elliptical geometry (sphere), the sum of angles of a triangle is:
Less than 180°
Equal to 180°
Greater than 180°
Cannot be determined
Explanation: On a sphere, triangles have angle sum > 180°
Question 10 of 10
medium
"The Elements" by Euclid consists of how many books?
5
10
13
15
Explanation: The Elements has 13 books covering geometry and number theory