Important Questions and Answers for Class 8 Maths Chapter 4 Quadrilaterals 2025-26

1. Multiple choice questions.

1. Which of the following quadrilaterals always has all sides equal and diagonals that bisect each other at right angles?

• (a) Rectangle
• (b) Trapezium
• (c) Parallelogram
• (d) Rhombus

Answer: (d) Rhombus

2. The sum of the four angles of any quadrilateral is

• (a) $270^\circ$
• (b) $360^\circ$
• (c) $180^\circ$
• (d) $400^\circ$

Answer: (b) $360^\circ$

3. In a rectangle, the diagonals are

• (a) Equal and bisect each other
• (b) Unequal and bisect each other at right angles
• (c) Only equal
• (d) Only bisect each other

Answer: (a) Equal and bisect each other

2. Very Short Answer (VSA).

1. What is a parallelogram?

Answer: A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel and equal in length.

2. Define a kite as per this chapter.

Answer: A kite is a quadrilateral having two pairs of adjacent sides equal, such as AB = BC and CD = DA.

3. How many degrees is the sum of all interior angles in a quadrilateral?

Answer: The sum of all the interior angles of any quadrilateral is $360^\circ$.

4. What special property do the diagonals of a square have?

Answer: Diagonals of a square are equal, bisect each other at right angles, and also bisect the angles of the square.

3. Short Answer Questions.

1. State three properties that help to identify a rectangle.

Answer: The three properties of a rectangle are: (a) All angles are $90^\circ$, (b) Opposite sides are equal and parallel, and (c) Diagonals are equal and bisect each other. These help distinguish a rectangle from other quadrilaterals.

2. Explain how the diagonals of a parallelogram behave.

Answer: In a parallelogram, the diagonals bisect each other, meaning they cut each other into two equal halves. However, the diagonals are not always equal in length, unless the parallelogram is a rectangle or square.

3. If a quadrilateral has all its four sides equal, what types can it be? Justify.

Answer: A quadrilateral with all four sides equal can be a square (if all angles are $90^\circ$) or a rhombus (if the angles are not all right angles). Both have equal side lengths, but angle properties differ.

4. Is it possible to have a quadrilateral with three right angles and the fourth angle not a right angle? Explain why.

Answer: No, because the sum of the four angles in any quadrilateral must be $360^\circ$. If three angles are right angles ($270^\circ$), the remaining angle must also be $90^\circ$.

5. Name two differences between a trapezium and a parallelogram.

Answer: A trapezium has only one pair of parallel sides, while a parallelogram has two pairs. In a parallelogram, opposite sides are also equal, whereas this is not necessary in a trapezium.

6. Can the diagonals of a rectangle intersect at right angles? Why or why not?

Answer: No, diagonals of a rectangle are equal and bisect each other, but they do not intersect at right angles. Only in a square or rhombus do diagonals intersect at $90^\circ$.

4. True or False Questions.

1. Every parallelogram is a rectangle.

Answer: False

2. The diagonals of a rhombus are always unequal.

Answer: True

3. A square is a special type of rectangle.

Answer: True

4. All sides of a kite are equal in length.

Answer: False

5. In a parallelogram, adjacent angles always add up to $180^\circ$.

Answer: True

3. Fill in the Blanks Questions.

1. The sum of the interior angles of a quadrilateral is ________.

Answer: $360^\circ$

2. In a parallelogram, opposite sides are ________ and ________.

Answer: equal; parallel

3. The diagonals of a square are ________ and bisect each other at ________ angles.

Answer: equal; right

4. A quadrilateral with exactly one pair of parallel sides is a ________.

Answer: trapezium

5. The two pairs of equal adjacent sides in a kite are ________ and ________.

Answer: AB = BC; CD = DA

Why Learning About Quadrilaterals is Helpful for Class 8 Students

Understanding quadrilaterals makes it easier to solve geometry problems in exams. This topic is important in class 8 maths chapter 4 quadrilaterals solutions and helps boost accuracy in MCQs and worksheets with answers. These basics are used in higher classes and real-life applications.

Practice with understanding quadrilaterals class 8 worksheets with answers pdf helps students revise topics like rectangles, squares, parallelograms, and kites. Clear explanations and simple definitions make learning concepts easier. Worksheets and short notes enable quick revision for school and competitive exams.

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