Class 9 Mathematics — Chapter 13: Quadrilaterals
90 practice questions · 30 Easy · 30 Medium · 30 Hard
Practise Class 9 Mathematics Chapter 13, "Quadrilaterals", with 90 NCERT-aligned multiple-choice questions. The set is split into 30 Easy, 30 Medium and 30 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams and the JEE & NEET foundation years.
"Quadrilaterals" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.
Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Quadrilaterals, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 9 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 90.
Key concepts: Quadrilaterals (Class 9 Mathematics)
This chapter proves the properties of parallelograms and the conditions for a quadrilateral to be a parallelogram, and states the Mid-point Theorem.
- Angle sum of a quadrilateral
- The four interior angles of any quadrilateral add up to 360°.
- Properties of a parallelogram
- Opposite sides are equal and parallel, opposite angles are equal, and the diagonals bisect each other.
- Tests for a parallelogram
- A quadrilateral is a parallelogram if any one holds: opposite sides equal, opposite angles equal, diagonals bisect each other, or one pair of sides equal and parallel.
- Special parallelograms
- A rectangle has equal diagonals; a rhombus has perpendicular diagonals; a square has both properties.
- Mid-point Theorem
- The segment joining mid-points of two sides of a triangle is parallel to the third side and half its length (and its converse).
Key formulas — Quadrilaterals
💡 Exam tips for Quadrilaterals
- 'A pair of opposite sides equal AND parallel' is the quickest test for a parallelogram in proofs.
- The diagonals of a rhombus bisect each other at right angles — a common proof step.
Sample questions
The sum of interior angles of a quadrilateral is:
The sum of all interior angles of a quadrilateral is 360°.
Angles of a quadrilateral are in ratio 1:2:3:4. Find the largest angle.
x+2x+3x+4x=360°→10x=360→x=36°. Largest=4×36=144°.
In parallelogram ABCD, E is midpoint of AB and F is midpoint of CD. EF divides ABCD into two parallelograms. Their areas are:
EF is parallel to AD and BC (both equal half of AB). Both parts are parallelograms on equal bases between same parallels → equal areas.
Quadrilaterals — FAQs
What are the key concepts in Class 9 Mathematics Quadrilaterals?+
This chapter proves the properties of parallelograms and the conditions for a quadrilateral to be a parallelogram, and states the Mid-point Theorem. Key ideas include Angle sum of a quadrilateral, Properties of a parallelogram, Tests for a parallelogram, Special parallelograms, Mid-point Theorem.
What does Class 9 Mathematics Chapter 13 (Quadrilaterals) cover on XamBaaz?+
It covers 90 NCERT-aligned MCQs on "Quadrilaterals" — 30 Easy, 30 Medium and 30 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams and the JEE & NEET foundation years.
Are these "Quadrilaterals" questions free to practise?+
Yes — sign in with Google to practise "Quadrilaterals" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Quadrilaterals" for the exam?+
Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.
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