Are these practice questions for Quadrilaterals based on the CBSE pattern?

Yes. Every practice question is modeled on the CBSE Class 8 Mathematics exam pattern — including MCQs, assertion-reason questions, and short-answer formats that frequently appear in CBSE papers.

Are the practice questions for Quadrilaterals free?

Yes. Every chapter includes free practice questions for Class 8 students to get you started.

What types of questions are included?

The practice set for Quadrilaterals mainly includes MCQs and CBSE-style short-answer questions, with instant feedback on each answer. For full-length textbook practice, use the NCERT Solutions page.

Are the practice questions suitable for board exam preparation?

Yes. The questions test the same concepts and depth that CBSE asks in board exams. After finishing, also solve the NCERT and NCERT Exemplar exercises for Quadrilaterals for full coverage.

How many practice questions are there for Quadrilaterals?

The number scales with chapter length and concept density. Each chapter typically has 15-50 practice questions across MCQ and short-answer formats.

Quadrilaterals Class 8 Mathematics Practice Questions with Answers

easy

Critique the following statement: "Any quadrilateral with diagonals that bisect each other must be a rectangle." Justify your answer.

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easy

Identify the special name for a rectangle with all sides equal.

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easy

In parallelogram ABCD, the length of side AB is represented by

(3x - 5)

cm and the opposite side CD is represented by

(x + 15)

cm. Calculate the value of x and find the length of side AB.

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easy

Justify why every square is a rhombus, but not every rhombus is a square.

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easy

Define a quadrilateral.

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easy

Name the quadrilateral whose diagonals are equal and bisect each other at right angles.

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easy

In parallelogram PQRS, if

\angle P = 80^\circ

, calculate the measure of its adjacent angle,

\angle Q

.

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easy

State the angle sum property of a quadrilateral.

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easy

The diagonals of a rhombus ABCD intersect at point O. If the length of diagonal AC is 16 cm and the length of diagonal BD is 12 cm, calculate the lengths of the segments AO and BO.

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easy

Three angles of a quadrilateral are

50^\circ

,

110^\circ

, and

70^\circ

. Recall the angle sum property to find the fourth angle.

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easy

Three angles of a quadrilateral measure

75^\circ

,

105^\circ

, and

120^\circ

. Calculate the measure of the fourth angle.

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medium

Explain why every square is a rectangle, but not every rectangle is a square.

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medium

List five distinct properties of a square. For each property, explain what it means.

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medium

In a kite ABCD, AB = AD and CB = CD. If

\angle A = 80^\circ

and

\angle C = 50^\circ

, calculate the measure of

\angle B

and

\angle D

.

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medium

Describe the relationship between the adjacent angles of a parallelogram. If one angle of a parallelogram is

70^\circ

, what are the measures of its adjacent angles?

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medium

The perimeter of a rhombus is 100 cm. If the length of one of its diagonals is 14 cm, calculate the length of the other diagonal.

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medium

A field is in the shape of a rhombus. The perimeter of the field is 200 m and the length of one of its diagonals is 60 m. Calculate the length of the other diagonal and find the area of the field.

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medium

Summarize the properties of a kite's diagonals.

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medium

List two properties of the diagonals of a parallelogram.

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medium

Create a quadrilateral where the diagonals are perpendicular to each other, but the quadrilateral is not a rhombus. Justify your classification.

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medium

In rectangle PQRS, diagonals PR and QS intersect at T. If PR =

(3x + 1)

cm and QS =

(2x + 9)

cm, calculate the value of x and the length of the diagonal PR.

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medium

Design a step-by-step method to construct a rhombus using only a ruler and compass, given that its diagonals are

8

cm and

6

cm. Justify why your construction results in a rhombus.

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medium

Formulate a concise argument to prove that if one angle of a parallelogram is a right angle, then it must be a rectangle.

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medium

In rectangle ABCD, the diagonals AC and BD intersect at point O. If

\angle ODA = 35^\circ

, calculate the measure of

\angle AOB

.

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medium

In a parallelogram

PQRS

, the bisectors of adjacent angles

\angle P

and

\angle Q

intersect at a point

O

. Evaluate the measure of

\angle POQ

and justify your reasoning.

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medium

Analyze the properties of a square's diagonals. What is the specific angle at which they intersect each other?

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medium

Evaluate if it is possible to create a quadrilateral with interior angles in the ratio

1:2:3:5

. Justify your reasoning.

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medium

Formulate a proof that the opposite sides of a parallelogram are equal in length, using only the definition that its opposite sides are parallel.

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medium

The measures of two adjacent angles of a parallelogram are in the ratio 2:7. Calculate the measure of all four angles of the parallelogram.

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medium

Critique a carpenter's method: "To check if a door frame is a perfect rectangle, I only need to measure its two diagonals and confirm they are equal." Is this method sufficient? Justify your answer.

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medium

Formulate a proof for the theorem: "The quadrilateral formed by joining, in order, the midpoints of the sides of any general quadrilateral is a parallelogram."

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medium

Critique the following two definitions of a trapezium: (a) A quadrilateral with exactly one pair of parallel sides. (b) A quadrilateral with at least one pair of parallel sides. Justify which definition is more inclusive and explain whether a parallelogram qualifies as a trapezium under each.

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medium

List three key properties that distinguish a rhombus from a general parallelogram.

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medium

In an isosceles trapezium WXYZ with WX || ZY and WZ = XY, if

\angle Z = 65^\circ

, calculate the measure of

\angle Y

.

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hard

Explain the hierarchy of special parallelograms (Parallelogram, Rectangle, Square, Rhombus) by describing their relationships. Summarize the key features that define each step in the hierarchy.

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hard

Explain what an isosceles trapezium is. Describe the property related to its non-parallel sides and base angles.

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hard

The diagonals of a quadrilateral are both

12

cm long and bisect each other at an angle of

60^\circ

. Evaluate the measures of all interior angles of the quadrilateral and justify its classification.

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hard

You are given three non-collinear points

A, B,

and

C

. Design a method using geometric properties to locate a fourth point

D

such that

ABCD

forms a parallelogram. Justify your method. Is this location for

D

unique?

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hard

A quadrilateral ABCD is formed such that its diagonals AC and BD measure 10 cm and 24 cm, respectively. The diagonals bisect each other at right angles. Analyze the properties to identify the specific type of quadrilateral and then calculate its perimeter.

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hard

A quadrilateral

PQRS

has its opposite angles equal, i.e.,

\angle P = \angle R

and

\angle Q = \angle S

. Formulate a proof to justify that

PQRS

must be a parallelogram.

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hard

Describe a rectangle and a rhombus. List two properties that are common to both and two properties that are unique to each.

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hard

Compare a rhombus and a kite. List one property their diagonals share and one key property that is different.

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hard

In parallelogram ABCD, the angle bisectors of adjacent angles

\angle A

and

\angle B

intersect at a point P. Analyze and calculate the measure of

\angle APB

.

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hard

A new quadrilateral is formed by joining the midpoints of the sides of a rectangle in order. Justify what specific type of quadrilateral is formed.

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hard

Identify the type of quadrilateral formed if its diagonals are equal and bisect each other. Explain your reasoning.

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QuadrilateralsClass 8 Mathematics Practice Questions