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Introduction to Euclid's Geometry — Class 9 CBSE Mathematics MCQs with Solutions
Free Class 9 CBSE Mathematics Introduction to Euclid's Geometry MCQs with step-by-step solutions. Practise online on Prepizo — no login needed.
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Sample questions with solutions
Q1 — easy
Euclid belonged to which ancient country?
A. Babylonia
B. Egypt
C. Greece ✓ Correct
D. India
Solution: Euclid was a Greek mathematician from Alexandria.
Q2 — easy
Famous treatise written by Euclid containing 13 books is titled:
A. The Elements ✓ Correct
B. Siddhanta Shiromani
C. Arithmetica
D. Almagest
Solution: Euclid compiled geometry knowledge in 'The Elements'.
Q3 — easy
According to Euclid's definitions, a point is that which has:
A. Length and breadth
B. No part (no dimension) ✓ Correct
C. Breadth only
D. Thickness
Solution: A point is that which has no part (dimensionless).
Q4 — easy
According to Euclid's definitions, a line is:
A. Breadthless length ✓ Correct
B. A plane surface
C. A thick boundary
D. Point set with width
Solution: A line is breadthless length.
Q5 — easy
Boundaries of solids are:
A. Lines
B. Points
C. Surfaces ✓ Correct
D. Curves
Solution: Boundaries of 3D solids are 2D surfaces.
Q6 — easy
Boundaries of surfaces are:
A. Points
B. Lines ✓ Correct
C. Solids
D. Angles
Solution: Boundaries of 2D surfaces are 1D lines.
Q7 — easy
Assumptions which are specific to geometry are called:
A. Axioms
B. Postulates ✓ Correct
C. Theorems
D. Corollaries
Solution: Postulates are geometric assumptions; axioms are general math assumptions.
Q8 — easy
Axioms are assumptions that are:
A. Universal truths without proof across all mathematics ✓ Correct
B. Applicable to geometry only
C. Proved statements
D. Definitions
Solution: Axioms are self-evident universal mathematical truths.
Q9 — easy
Euclid's First Postulate states that a straight line may be drawn from:
A. Any one point to any other point ✓ Correct
B. Origin only
C. Center of circle
D. Parallel lines
Solution: A unique straight line joins two given points.
Q10 — easy
Euclid's Postulate 3 states that a circle can be drawn with:
A. Any center and any radius ✓ Correct
B. Fixed radius only
C. Two centers
D. Diameter only
Solution: Any center and radius can define a circle.
Q11 — easy
Things which are equal to the same thing are:
A. Unequal
B. Equal to one another ✓ Correct
C. Double each other
D. Half each other
Solution: Euclid's 1st Axiom: If a = c and b = c, then a = b.
Q12 — easy
If equals are added to equals, the wholes are:
A. Equal ✓ Correct
B. Unequal
C. Zero
D. Doubled
Solution: Euclid's 2nd Axiom: If a = b, then a + c = b + c.
Q13 — easy
Whole is always _______ than the part.
A. Smaller
B. Equal
C. Greater ✓ Correct
D. Half
Solution: Euclid's 5th Axiom: Whole is greater than part.
Q14 — easy
How many lines can pass through a single given point?
A. Only 1
B. Only 2
C. Infinitely many ✓ Correct
D. Zero
Solution: Endless straight lines intersect at a single point.
Q15 — easy
How many lines can pass through TWO distinct points?
A. Unique (Only 1) ✓ Correct
B. Two
C. Infinitely many
D. None
Solution: Axiom: Exactly one unique line passes through two distinct points.