Class 9 Mathematics Chapter 12: Quadrilaterals — practice questions with answers
Free practice for Class 9 Mathematics, Chapter 12: Quadrilaterals. Try the solved questions below, then take a free test with instant marking and explanations.
65 questions16 easy, 30 medium, 19 hardNCERT · CBSE · State boards
Sample questions with solutions
Q1. A grid of rectangles made of pinned wooden sticks is pushed sideways so the angles change. Which shape now tiles the plane?
- A parallelogram
- A circle
- A regular pentagon
- A kite only
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Answer: A. A parallelogram
Why: Parallel sticks stay parallel; only the angle changes. [p.51–52]
Why: Parallel sticks stay parallel; only the angle changes. [p.51–52]
Q2. Quadrilateral PQRS has PQ ∥ SR and PQ = SR = 7 cm. What can you conclude?
- PQRS is a parallelogram
- PQRS is a square
- PQRS is a kite
- Nothing
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Answer: A. PQRS is a parallelogram
Why: Equal parallel sides test (Theorem 5). [p.59]
Why: Equal parallel sides test (Theorem 5). [p.59]
Q3. What does the Midpoint Theorem state?
- The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length
- All medians are equal
- The midpoints of a triangle are collinear
- The midpoint of the hypotenuse is equidistant from all vertices
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Answer: A. The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length
Why: Theorem 6. [p.63]
Why: Theorem 6. [p.63]
Q4. In ΔABC, BC = 14 cm. P and Q are midpoints of AB and AC. Find PQ (cm).
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Answer: 7 (± 0)
Why: PQ = BC ÷ 2 = 7 cm. [p.63]
Why: PQ = BC ÷ 2 = 7 cm. [p.63]
Q5. What does the Centroid Theorem say?
- The three medians meet at a point that divides each in the ratio 2 : 1 from the vertex
- The medians are parallel
- The medians are equal
- The medians meet at the midpoint of the longest side
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Answer: A. The three medians meet at a point that divides each in the ratio 2 : 1 from the vertex
Why: Theorem 8. [p.66]
Why: Theorem 8. [p.66]
Q6. A median of a triangle is 18 cm long. How far is the centroid from the vertex (cm)?
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Answer: 12 (± 0)
Why: 2 : 1 split → 12 cm and 6 cm. [p.66]
Why: 2 : 1 split → 12 cm and 6 cm. [p.66]
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Frequently asked questions
How many practice questions are there for Class 9 Mathematics Chapter 12: Quadrilaterals?
65 questions (16 easy, 30 medium, 19 hard). A few are solved on this page; the free test shows the answer and explanation for every question after you submit.
Is this chapter from the NCERT book?
Yes — it follows the NCERT Class 9 Mathematics syllabus, used by CBSE and many state boards.