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Quadrilaterals — Class 9 CBSE Mathematics MCQs with Solutions
Free Class 9 CBSE Mathematics Quadrilaterals MCQs with step-by-step solutions. Practise online on Prepizo — no login needed.
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Sample questions with solutions
Q1 — easy
Sum of four interior angles of a quadrilateral is:
A. 180°
B. 270°
C. 360° ✓ Correct
D. 540°
Solution: Angle sum property of quadrilateral = 360°.
Q2 — easy
Diagonals of a parallelogram:
A. Are equal in length
B. Bisect each other ✓ Correct
C. Intersect at 90° only
D. Are perpendicular
Solution: Parallelogram diagonals bisect each other.
Q3 — easy
A parallelogram having all four sides equal in length is a:
A. Rectangle
B. Rhombus ✓ Correct
C. Trapezium
D. Kite
Solution: Equilateral parallelogram = Rhombus.
Q4 — easy
Diagonals of a Rhombus bisect each other at:
A. 45°
B. 60°
C. 90° (Right angles) ✓ Correct
D. 180°
Solution: Rhombus diagonals are perpendicular bisectors.
Q5 — easy
A quadrilateral having exactly ONE pair of parallel opposite sides is a:
A. Parallelogram
B. Trapezium ✓ Correct
C. Rhombus
D. Rectangle
Solution: Trapezium has one pair of parallel sides.
Q6 — easy
Diagonals of a Rectangle are:
A. Unequal
B. Equal in length and bisect each other ✓ Correct
C. Perpendicular
D. Bisect vertex angles
Solution: Rectangle diagonals are equal and bisect each other.
Q7 — easy
A quadrilateral whose diagonals are equal and bisect each other at right angles is a:
A. Rectangle
B. Square ✓ Correct
C. Rhombus
D. Parallelogram
Solution: Equal + perpendicular bisecting diagonals = Square.
Q8 — easy
In △ABC, D and E are midpoints of AB and AC. If BC = 12 cm, DE =
A. 6 cm ✓ Correct
B. 12 cm
C. 24 cm
D. 4 cm
Solution: DE = ½ BC = ½ (12) = 6 cm.
Q9 — easy
Opposite angles of a parallelogram are:
A. Supplementary
B. Equal ✓ Correct
C. Complementary
D. 90° each
Solution: Parallelogram opposite angles are equal.
Q10 — easy
Adjacent angles of a parallelogram are always:
A. Equal
B. Supplementary (sum = 180°) ✓ Correct
C. Complementary
D. 90° each
Solution: Consecutive interior angles sum to 180°.
Q11 — easy
If three angles of a quadrilateral are 70°, 80°, and 110°, fourth angle is:
A. 90°
B. 100° ✓ Correct
C. 110°
D. 120°
Solution: 360° − (70 + 80 + 110) = 360° − 260° = 100°.
Q12 — easy
Quadrilateral formed by joining midpoints of sides of a rectangle in order is a:
A. Rectangle
B. Rhombus ✓ Correct
C. Square
D. Trapezium
Solution: Midpoints of rectangle form a rhombus.
Q13 — easy
Quadrilateral formed by joining midpoints of sides of a rhombus in order is a:
A. Rhombus
B. Rectangle ✓ Correct
C. Square
D. Parallelogram
Solution: Midpoints of rhombus form a rectangle.
Q14 — easy
Bisectors of four interior angles of a parallelogram enclose a:
A. Rhombus
B. Rectangle ✓ Correct
C. Square
D. Trapezium
Solution: Angle bisectors of a parallelogram form a rectangle.
Q15 — medium
Mid-point Theorem states that line segment joining midpoints of two sides of a triangle is parallel to third side and:
A. Equal to third side
B. Half of third side ✓ Correct
C. Twice third side
D. One-third third side
Solution: Midpoint segment = ½ × Base side.