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Practise these 15 Class 9 Maths Chapter 12 MCQs with answers to revise quadrilaterals and their properties. Test your understanding of angles, sides, parallelograms, rectangles, squares, rhombuses and diagonals.
Try to answer all the questions before checking the answer key and explanations.
Class 9 Maths Chapter 12 MCQs
15 MCQs for Class 9 Maths Chapter 12 – Quadrilaterals
Question 1. How many sides does a quadrilateral have?
A. 3
B. 4
C. 5
D. 6
Question 2. What is the sum of the interior angles of a quadrilateral?
A. 180°
B. 270°
C. 360°
D. 540°
Question 3. A parallelogram has one angle of 70°. What is the measure of its adjacent angle?
A. 70°
B. 90°
C. 110°
D. 140°
Question 4. In a parallelogram, opposite sides are:
A. Equal and parallel
B. Perpendicular in every case
C. Always unequal
D. Never parallel
Question 5. Which quadrilateral has four equal sides and four right angles?
A. Rectangle only
B. Rhombus only
C. Square
D. Trapezium only
Question 6. The diagonals of a parallelogram:
A. Are always equal
B. Bisect each other
C. Are always perpendicular
D. Never intersect
Question 7. A rectangle has length 10 cm and breadth 6 cm. What is its perimeter?
A. 16 cm
B. 30 cm
C. 32 cm
D. 60 cm
Question 8. What is the measure of each angle of a rectangle?
A. 45°
B. 60°
C. 90°
D. 120°
Question 9. A quadrilateral has three angles of 80°, 90° and 100°. Find the fourth angle.
A. 70°
B. 80°
C. 90°
D. 100°
Question 10. Which statement about a rhombus is always true?
A. All four angles are right angles.
B. All four sides are equal.
C. Its diagonals are always equal.
D. It has no parallel sides.
Question 11. The diagonals of a rectangle are:
A. Always unequal
B. Equal and bisect each other
C. Always perpendicular
D. Parallel to each other
Question 12. A parallelogram has one angle of 120°. What is the opposite angle?
A. 60°
B. 90°
C. 120°
D. 240°
Question 13. Which quadrilateral has exactly one pair of parallel sides under the usual school definition?
A. Parallelogram
B. Rectangle
C. Trapezium
D. Rhombus
Question 14. If the diagonals of a parallelogram intersect at O and one diagonal has AO = 5 cm, what is OC on the same diagonal?
A. 2.5 cm
B. 5 cm
C. 10 cm
D. 15 cm
Question 15. Each angle of a square is:
A. 45°
B. 60°
C. 90°
D. 180°
Answer Key – Class 9 Maths Chapter 12 MCQs.
Answer Key with Explanations – Chapter 12
1 — B. 4. A quadrilateral is a polygon with four sides.
2 — C. 360°. The interior angles of a quadrilateral add up to 360°.
3 — C. 110°. Adjacent angles of a parallelogram are supplementary: 180° − 70° = 110°.
4 — A. Equal and parallel. Opposite sides of a parallelogram are equal and parallel.
5 — C. Square. A square has four equal sides and four right angles.
6 — B. Bisect each other. Each diagonal of a parallelogram cuts the other into two equal parts.
7 — C. 32 cm. Perimeter = 2 × (10 + 6) = 32 cm.
8 — C. 90°. A rectangle has four right angles.
9 — C. 90°. Fourth angle = 360° − (80° + 90° + 100°) = 90°.
10 — B. All four sides are equal. This is a defining property of a rhombus.
11 — B. Equal and bisect each other. The diagonals of a rectangle are equal and bisect each other.
12 — C. 120°. Opposite angles of a parallelogram are equal.
13 — C. Trapezium. Under the usual exclusive definition, a trapezium has exactly one pair of parallel sides.
14 — B. 5 cm. Diagonals of a parallelogram bisect each other, so AO = OC = 5 cm.
15 — C. 90°. All four interior angles of a square are right angles.
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