ANNUAL EXAM PYQS · CHAPTER 08

Quadrilaterals
CBSE Most Repeated PYQs

Solve official Class 9 Annual Examination Questions for Quadrilaterals. Click on options to test yourself, or click "Show Solution & Answer" for complete step-by-step working.

Q1Annual Exam 2024MCQ

1 Mark

Three angles of a quadrilateral are 75°, 90° and 75°. The fourth angle is:

Q2Annual Exam 2023MCQ

1 Mark

A diagonal of a parallelogram divides it into two:

Q3CBSE Pattern PYQMCQ

1 Mark

If diagonals of a parallelogram are equal, then it is a:

Q4Annual Exam 2022MCQ

1 Mark

The line segment joining midpoints of two sides of a triangle is parallel to third side and is:

Q5CBSE Model PYQAssertion-Reason

1 Mark

Assertion (A): Diagonals of a rhombus bisect each other at right angles. Reason (R): All four sides of a rhombus are equal.

Q6Annual Exam 2021Assertion-Reason

1 Mark

Assertion (A): The quadrilateral formed by joining midpoints of sides of a quadrilateral is a parallelogram. Reason (R): Line joining midpoints of two sides of a triangle is parallel to third side and half of it.

Q7Annual Exam 2024Short Answer

2 Marks

Angles of quadrilateral are in ratio 3 : 5 : 9 : 13. Find all angles.

Q8Annual Exam 2023Short Answer

2 Marks

Show that diagonals of a square are equal and bisect each other at right angles.

Q9CBSE Pattern PYQShort Answer

2 Marks

Show that if diagonals of a quadrilateral bisect each other at right angles, it is a rhombus.

Q10Annual Exam 2022Short Answer

2 Marks

ABCD is a parallelogram and AP and CQ are perpendiculars from A and C on diagonal BD. Show △APB ≅ △CQD.

Q11CBSE Model PYQShort Answer

2 Marks

In △ABC, D, E and F are midpoints of sides AB, BC and CA. Show △ABC is divided into 4 congruent triangles.

Q12Annual Exam 2021Long Answer

3 Marks

ABCD is a rhombus and P, Q, R, S are midpoints of sides AB, BC, CD, DA. Show PQRS is a rectangle.

Q13Annual Exam 2024Long Answer

3 Marks

ABCD is a rectangle and P, Q, R, S are midpoints of sides AB, BC, CD, DA. Show PQRS is a rhombus.

Q14Annual Exam 2023Long Answer

3 Marks

In parallelogram ABCD, E and F are midpoints of sides AB and CD. Show segment AF and EC trisect diagonal BD.

Q15CBSE Pattern PYQLong Answer

3 Marks

ABCD is a trapezium with AB || CD. E is midpoint of AD. Line through E parallel to AB meets BC at F. Show F is midpoint of BC.

Q16Annual Exam 2022Case Study

4 Marks

Case Study Scenario: A park is in shape of quadrilateral ABCD with ∠C = 90°, AB = 9 m, BC = 12 m, CD = 5 m and AD = 8 m. Question: Find total area of park.

Q17CBSE Model PYQCase Study

4 Marks

Case Study Scenario: A farmer has field ABCD in shape of parallelogram. Midpoints of AB, BC, CD, DA are E, F, G, H. Question: Show that region EFGH inside field is also a parallelogram.

Q18Annual Exam PYQPYQ

5 Marks

Prove that line segment joining midpoints of two sides of a triangle is parallel to third side and equal to half of it.

Q19Annual Exam PYQPYQ

5 Marks

ABCD is a parallelogram. Line segments AX and CY bisect ∠A and ∠C. Prove AX || CY.

Q20Annual Exam PYQPYQ

5 Marks

Quadrilaterals CBSE Most Repeated PYQs

Three angles of a quadrilateral are 75°, 90° and 75°. The fourth angle is:

A diagonal of a parallelogram divides it into two:

If diagonals of a parallelogram are equal, then it is a:

The line segment joining midpoints of two sides of a triangle is parallel to third side and is:

Assertion (A): Diagonals of a rhombus bisect each other at right angles. Reason (R): All four sides of a rhombus are equal.

Assertion (A): The quadrilateral formed by joining midpoints of sides of a quadrilateral is a parallelogram. Reason (R): Line joining midpoints of two sides of a triangle is parallel to third side and half of it.

Angles of quadrilateral are in ratio 3 : 5 : 9 : 13. Find all angles.

Show that diagonals of a square are equal and bisect each other at right angles.

Show that if diagonals of a quadrilateral bisect each other at right angles, it is a rhombus.

ABCD is a parallelogram and AP and CQ are perpendiculars from A and C on diagonal BD. Show △APB ≅ △CQD.

In △ABC, D, E and F are midpoints of sides AB, BC and CA. Show △ABC is divided into 4 congruent triangles.

ABCD is a rhombus and P, Q, R, S are midpoints of sides AB, BC, CD, DA. Show PQRS is a rectangle.

ABCD is a rectangle and P, Q, R, S are midpoints of sides AB, BC, CD, DA. Show PQRS is a rhombus.

In parallelogram ABCD, E and F are midpoints of sides AB and CD. Show segment AF and EC trisect diagonal BD.

ABCD is a trapezium with AB || CD. E is midpoint of AD. Line through E parallel to AB meets BC at F. Show F is midpoint of BC.

Case Study Scenario: A park is in shape of quadrilateral ABCD with ∠C = 90°, AB = 9 m, BC = 12 m, CD = 5 m and AD = 8 m. Question: Find total area of park.

Case Study Scenario: A farmer has field ABCD in shape of parallelogram. Midpoints of AB, BC, CD, DA are E, F, G, H. Question: Show that region EFGH inside field is also a parallelogram.

Prove that line segment joining midpoints of two sides of a triangle is parallel to third side and equal to half of it.

ABCD is a parallelogram. Line segments AX and CY bisect ∠A and ∠C. Prove AX || CY.

Diagonals AC and BD of parallelogram ABCD intersect at O. Line through O intersects AB at P and CD at Q. Show OP = OQ.

Quadrilaterals
CBSE Most Repeated PYQs