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Constructions — Class 10 CBSE Mathematics MCQs with Solutions
Free Class 10 CBSE Mathematics Constructions MCQs with step-by-step solutions. Practise online on Prepizo — no login needed.
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Sample questions with solutions
Q1 — easy
To construct a tangent to a circle from a point on it, we draw a line ___ to the radius.
A. parallel
B. perpendicular ✓ Correct
C. equal
D. inclined
Solution: The tangent is perpendicular to the radius.
Q2 — easy
A construction dividing a segment into 3 equal parts uses the ratio:
A. 1:1
B. 1:2
C. 1:1:1 ✓ Correct
D. 2:3
Solution: Three equal parts means 1:1:1.
Q3 — easy
Constructions in geometry must be done using:
A. only a ruler
B. ruler and compass ✓ Correct
C. only a protractor
D. free hand
Solution: Classical constructions use a ruler and compass.
Q4 — hard
Tangents constructed from an external point 10 cm away to a circle of radius 6 cm have length:
A. 4 cm
B. 6 cm
C. 8 cm ✓ Correct
D. 10 cm
Solution: √(100−36) = 8 cm.
Q5 — hard
A triangle constructed with scale factor 1 relative to the original is:
A. smaller
B. larger
C. congruent to it ✓ Correct
D. impossible
Solution: Scale factor 1 gives a congruent triangle.
Q6 — hard
When constructing a similar triangle, the line drawn from the last arc point must be ___ to the line joining the first point to B.
A. perpendicular
B. parallel ✓ Correct
C. equal
D. at 60°
Solution: Parallel lines preserve the ratio.
Q7 — medium
To construct tangents from an external point, we first draw a circle with diameter:
A. the radius
B. the segment joining the point and the centre ✓ Correct
C. twice the radius
D. the tangent length
Solution: The circle on OP as diameter locates the contact points.
Q8 — medium
A triangle similar with scale factor 5/3 will have sides:
A. smaller
B. larger ✓ Correct
C. equal
D. perpendicular
Solution: A factor greater than 1 enlarges it.
Q9 — medium
The number of tangents constructed from a point outside a circle is:
A. 1
B. 2 ✓ Correct
C. 3
D. infinite
Solution: Exactly two tangents exist.