Chapter 5 (Balbharati) · Class 9 Maharashtra SSC · Worksheet

Quadrilaterals (चतुर्भुज) Worksheet — Class 9 Maharashtra SSC Maths

Download a free printable worksheet with 30 questions at 3 difficulty levels. Includes full answer key.

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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

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Sample Questions — Quadrilaterals (चतुर्भुज)

Here are 8 sample questions from this worksheet. Download the full PDF for all 30 questions.

Q1.Which of the following statements about the angle sum property of a quadrilateral is TRUE?

A.The sum of interior angles of any quadrilateral is 180°.

B.The sum of interior angles of a convex quadrilateral is 360°.

C.The sum of interior angles of a concave quadrilateral is less than 360°.

D.The sum of interior angles of a quadrilateral can vary depending on its type.

Difficulty: Easy

Q2.Ravi was given a quadrilateral ABCD. He concluded that if AB = CD and BC = DA, then ABCD must be a parallelogram. Is Ravi's reasoning correct?

A.Yes, because a quadrilateral with opposite sides equal is always a parallelogram.

B.No, because only opposite angles being equal guarantees it's a parallelogram.

C.No, because the diagonals must also bisect each other for it to be a parallelogram.

D.Yes, but only if all angles are 90°.

Difficulty: Easy

Q3.Consider a quadrilateral PQRS where the diagonals PR and QS intersect at point O. If PO = OR and QO = OS, which of the following statements is definitely TRUE?

A.PQRS is a rhombus.

B.PQRS is a rectangle.

C.PQRS is a parallelogram.

D.PQRS is a kite.

Difficulty: Easy

Q4.In a parallelogram ABCD, ∠A = 70°. What are the measures of ∠B, ∠C, and ∠D respectively?

A.∠B = 70°, ∠C = 110°, ∠D = 110°

B.∠B = 110°, ∠C = 70°, ∠D = 110°

C.∠B = 110°, ∠C = 110°, ∠D = 70°

D.∠B = 70°, ∠C = 70°, ∠D = 110°

Difficulty: Easy

Q5.Which of the following conditions is NOT sufficient to prove that a quadrilateral is a parallelogram?

A.Both pairs of opposite sides are equal.

B.Both pairs of opposite angles are equal.

C.Diagonals bisect each other.

D.One pair of opposite sides is equal.

Difficulty: Easy

Q6.A student claims that every rectangle is a square. Is this statement true or false, and why?

A.True, because all angles in a rectangle are 90°, just like a square.

B.False, because a rectangle only requires opposite sides to be equal, while a square requires all sides to be equal.

C.True, because both have four sides and four vertices.

D.False, because a square has diagonals that bisect each other at 90°, which is not always true for a rectangle.

Difficulty: Easy

Q7.Consider a triangle ABC. P and Q are the mid-points of sides AB and AC respectively. Which of the following statements is a direct consequence of the Mid-point Theorem?

A.The line segment PQ is perpendicular to BC.

B.The line segment PQ is half the length of BC and parallel to BC.

C.The line segment PQ is equal in length to BC.

D.The line segment PQ divides the triangle ABC into two triangles of equal area.

Difficulty: Easy

Q8.A student is asked to prove that if the diagonals of a quadrilateral bisect each other, then it is a parallelogram. Which pair of triangles should the student primarily focus on proving congruent to establish that opposite sides are equal?

A.△ABC and △ADC

B.△AOB and △BOC (where O is the intersection of diagonals)

C.△AOB and △COD (where O is the intersection of diagonals)

D.△ABC and △BCD

Difficulty: Easy

Answer Key — Sample Questions+

Q1:The sum of interior angles of a convex quadrilateral is 360°.

Q2:Yes, because a quadrilateral with opposite sides equal is always a parallelogram.

Q3:PQRS is a parallelogram.

Q4:∠B = 110°, ∠C = 70°, ∠D = 110°

Q5:One pair of opposite sides is equal.

Q6:False, because a rectangle only requires opposite sides to be equal, while a square requires all sides to be equal.

Q7:The line segment PQ is half the length of BC and parallel to BC.

Q8:△AOB and △COD (where O is the intersection of diagonals)

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