Check the below NCERT MCQ Questions for Class 8 Maths Chapter 3 Understanding Quadrilaterals with Answers Pdf free download. MCQ Questions for Class 8 Maths with Answers were prepared based on the latest exam pattern. We have provided Understanding Quadrilaterals Class 8 Maths MCQs Questions with Answers to help students understand the concept very well. https://mcqquestions.guru/mcq-questions-for-class-8-maths-chapter-3/

Students can also refer to NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals for better exam preparation and score more marks.

## Understanding Quadrilaterals Class 8 MCQs Questions with Answers

**Understanding Quadrilaterals Class 8 MCQ Question 1.**

What is the number of sides of a triangle ?

(a) 1

(b) 2

(c) 3

(d) 4.

## Answer

Answer: (c)

**Class 8 Maths Chapter 3 MCQ Question 2.**

What is the number of vertices of a triangle ?

(a) 1

(b) 2

(c) 3

(d) 4.

## Answer

Answer: (c)

**Maths Class 8 Chapter 3 MCQ Question 3.**

What is the number of sides of a quadrilateral ?

(a) 1

(b) 2

(c) 3

(d) 4.

## Answer

Answer: (d)

**Class 8 Maths Ch 3 MCQ Question 4.**

What is the number of vertices of a quadrilateral ?

la) 1

(b) 2

(c) 3

(d) 4.

## Answer

Answer: (d)

**MCQ On Understanding Quadrilaterals Class 8 Question 5.**

How many diagonals does a quadrilateral have ?

(a) 1

(b) 2

(c) 3

(d) 4.

## Answer

Answer: (b)

**MCQ Questions For Class 8 Maths Chapter 3 Question 6.**

The sum of the measures of all the three angles of a triangle is

la) 90°

(b) 180°

(c) 360°

(d) 720°.

## Answer

Answer: (b)

**Class 8 Math Chapter 3 MCQ Question 7.**

The sum of the measures of all the four angles of a quadrilateral is

(a) 90°

(b) 180°

(c) 360°

(d) 720°.

## Answer

Answer: (c)

**MCQ On Quadrilaterals Class 8 Question 8.**

How many diagonals does a triangle have ?

(a) 0

(b) 1

(c) 2

(d) 4.

## Answer

Answer: (a)

**Understanding Quadrilaterals MCQ Class 8 Question 9.**

How many diagonals does a regular hexagon have ?

(a) 2

(b) 0

(c) 4

(d) 9

## Answer

Answer: (d)

**MCQ Class 8 Maths Chapter 3 Question 10.**

The angle sum of a convex polygon with number of sides 7 is

(a) 900°

(b) 1080°

(c) 1440°

(d) 720°.

## Answer

Answer: (a)

Hint:

n = 7

(n – 2) 180° = 900°.

**Ncert Class 8 Maths Chapter 3 MCQ Questions Question 11.**

The angle sum of a convex polygon with number of sides 8 is

(a) 720°

(b) 900°

(c) 1080°

(d) 1440°.

## Answer

Answer: (c)

Hint:

n = 8

(n – 2) 180° = 1080°.

**Class 8 Chapter 3 Maths MCQ Question 12.
**The angle sum of a convex polygon with number of sides 10 is

(a ) 720°

(b) 900°

(c) 1080°

(d) 1440°.

## Answer

Answer: (d)

Hint:

n = 10

(n – 2) 180° = 1440°.

**MCQ Questions For Class 8 Maths Understanding Quadrilaterals Question 13.**

The angle sum of a convex polygon with number of sides n is

(a) (n – 2) 180°

(b) (n + 2) 180°

(c) (2n – 4) 180°

(d) (2n + 4) 180°.

## Answer

Answer: (a)

**MCQ Of Understanding Quadrilaterals Class 8 Question 14.**

What is the name of a regular polygon of 3 sides ?

(a) Equilateral triangle

(b) Square

(c) Regular hexagon

(d) Regular octagon.

## Answer

Answer: (a)

**MCQ Questions For Class 8 Maths Chapter 3 With Answers Question 15.**

What is the name of a regular polygon of 6 sides ?

(a) Square

(b) Equilateral triangle

(c) Regular hexagon

(d) Regular octagon.

## Answer

Answer: (c)

Question 16.

What is the name of a regular polygon of 4 sides ?

(a) Regular hexagon

(b) Regular octagon

(c) Square

(d) Equilateral triangle.

## Answer

Answer: (c)

Question 17.

The sum of the measures of the exterior angles of any polygon is

(a) 90°

(b) 180°

(c) 360°

(d) 720°.

## Answer

Answer: (c)

Question 18.

The measures of the three angles of a quadrilateral are 65°, 75° and 85°. The measure of the fourth angle is

(a) 65°

(b) 75°

(c) 85°

(d) 135°.

## Answer

Answer: (d)

Hint:

Fourth angle = 360° – (65° + 75° + 85°)

= 135°

Question 19.

The measures of each of the four angles of a quadrilateral are equal. Find the measure of each angle.

(a) 45°

(b) 30°

(c) 60°

(d) 90°.

## Answer

Answer: (d)

Hint:

Measure of each angle

= \(\frac{360°}{4}\) = 90°.

Question 20.

Out of the three equal angles of a quadrilateral, each measures 70°. The measure of the fourth angle is

(a) 90°

(b) 140°

(c) 150°

(d) 70°.

## Answer

Answer: (c)

Hint:

Fourth angle = 360° – (70° + 70° + 70°)

= 150°.

Question 21.

Two adjacent angles of a quadrilateral measure 130° and 40°. The sum of the remaining two angles is

(a) 190°

(b) 180°

(c) 360°

(d) 90°.

## Answer

Answer: (a)

Hint:

Sum = 360° – (130° + 40°) = 190°.

Question 22.

The measures of two angles of a quadrilateral are 110° and 100″. The remaining two angles are equal. The measure of each of the remaining two angles is

(a) 30°

(b) 60°

(c) 75°

(d) 45°.

## Answer

Answer: (c)

Hint:

Required measure

= \(\frac{360°-(110°+100°)}{2}\) = 75°

Question 23.

The number of sides of a regular polygon, whose each exterior angle has a measure of 45°, is

(a) 4

(b) 6

(c) 8

(d) 10.

## Answer

Answer: (c)

Hint:

Number of sides = \(\frac{360°}{45°}\) = 8.

Question 24.

The measure of each exterior angle of a regular polygon of 9 sides is

(a) 30°

(b) 40°

(c) 60°

(d) 45°.

## Answer

Answer: (b)

Hint:

Required measure = \(\frac{360°}{9}\) = 40°.

Question 25.

The measure of each exterior angle of a regular polygon of 15 sides is

(a) 30°

(b) 45°

(c) 60°

(d) 24°.

## Answer

Answer: (d)

Hint:

Required measure = \(\frac{360°}{15}\) = 24°.

Question 26.

How many sides does a regular polygon have if the measure of an exterior angle is 24° ?

(a) 6

(b) 9

(c) 15

(d) 12.

## Answer

Answer: (c)

Hint:

Number of sides = \(\frac{360°}{24°}\) = 15.

Question 27.

How many sides does a-regular polygon have if each of its interior angles is 165° ?

(a) 12

(b) 24

(c) 9

(d) 6.

## Answer

Answer: (b)

Hint:

Exterior angle = 180° – 165° = 15°

∴ Number of sides = \(\frac{360°}{15°}\) = 24.

Question 28.

In a regular polygon of n sides, the measure of each internal angle is

(a) \(\frac{360°}{n}\)

(b) (\(\frac{2n-4}{n}\)) 90°

(c) n 90°

(d) 2n right angles.

## Answer

Answer: (b)

Question 29.

The four angles of a pentagon are 40°, 75°, 125° and 135°. The measure of the fifth angle is

(a) 165°

(b) 170°

(c) 160°

(d) 175°.

## Answer

Answer: (a)

Hint:

n = 5, (n – 2) 180° = (5 – 2) 180° = 540°

Fifth angle

= 540° – (40° + 75° + 125° + 135°)

= 540° – 375° = 165°

Question 30.

The sum of the internal angles of a polygon is 10 right angles. Then the number of sides is

(a) 5

(b) 6

(c) 7

(d) 8.

## Answer

Answer: (c)

Hint:

(n – 2) 180° = 10 x 90°

⇒ n = 7.

Question 31.

Which of the following statements is false ?

(a) All the angles of a rectangle are equal

(b) No angle of a rectangle can be obtuse

(c) The diagonals of a rectangle bisect each other

(d) The opposite sides of a rectangle are not equal.

## Answer

Answer: (d)

Question 32.

Which of the following statement is false ?

(a) A square is a rectangle whose adjacent sides are equal

(b) A square is a rhombus whose one angle is a right angle

(c) The diagonals of a square bisect each other at right angles

(d) The diagonals of a square do not divide the whole square into four equal parts.

## Answer

Answer: (d)

Question 33.

Which of the following statement is false ?

(a) All the rectangles are parallelograms

(b) All the squares are rectangles

(c) All the parallelograms are rectangles

(d)All the rhombuses are parallelograms.

## Answer

Answer: (c)

Question 34.

Which of the following statement is true ?

(a) All the rectangles are squares

(b) All the parallelograms are rhombuses

(c) All the squares are rhombuses

(d) Each parallelogram is a trapezium.

## Answer

Answer: (c)

Question 35.

Which of the following statement is true ?

(a) All the rhombuses are squares

(b) Each square is a parallelogram

(c) Each parallelogram is a square

(d) Each trapezium is a parallelogram.

## Answer

Answer: (b)

Question 36.

One angle of a parallelogram is a right angle. The name of the quadrilateral is

(a) square

(b) rectangle

(c) rhombus

(d) kite.

## Answer

Answer: (b)

Question 37.

Two adjacent sides of a rectangle are equal. The name of the quadrilateral is

(a) square

(b) kite

(c) rhombus

(d) none of these.

## Answer

Answer: (a)

Question 38.

Which of the following statement is false ?

(a) All the four sides of a parallelogram are equal.

(b) The opposite angles of a parallelogram are equal

(c) The diagonals of a parallelogram bisect each other

(d) All the four sides of a rhombus are equal.

## Answer

Answer: (a)

Question 39.

Which of the following statement is false ?

(a) All the four angles of a rhombus are equal

(b) The diagonals of a rhombus bisect each other at right angles

(c) A rectangle is a parallelogram

(d) All squares are rectangles.

## Answer

Answer: (a)

Question 40.

If one angle of a parallelogram is of 65°, then the measure of the adjacent angle is

(a)65°

(b) 115°

(c) 25°

(d) 90°.

## Answer

Answer: (b)

Hint:

Measure of the adjacent angle

= 180° – 65° = 115°.

Question 41.

If ∠A of a parallelogram ABCD is of 60°, then the measure of the opposite angle ∠C is

(a) 60°

(b) 120°

(c) 30°

(d) none of these.

## Answer

Answer: (a)

Hint:

∠C = ∠A = 60°.

Question 42.

If all the four sides of a parallelogram are equal and the adjacent angles are of 120° and 60°, then the name of the quadrilateral is

(a) rectangle

(b) square

(c) rhombus

(d) kite.

## Answer

Answer: (c)

Question 43.

If the length of a side of a rhombus is 6 cm, then the perimeter of the rhombus is

(a) 6 cm

(b) 12 cm

(c) 24 cm

(d) 3 cm.

## Answer

Answer: (c)

Hint:

Perimeter = 4 side

= 4 × 6 = 24 cm.

Question 44.

In a kite, what is false ?

(a) The diagonals are perpendicular to each other

(b) The diagonals bisect each other

(c) Only one pair of opposite angles is equal

(d) All the four sides are equal.

## Answer

Answer: (d)

Question 45.

ABCD is a rectangle. Its diagonals meet at O.

OA = 2x – 1, OD = 3x – 2. Find x

(a) 1

(b) 2

(c) 3

(d) -1.

## Answer

Answer: (a)

Hint:

3x – 2 = 2x – 1 ⇒ x = 1.

Question 46.

Find the perimeter of the rectangle ABCD.

(a) 6 cm

(b) 12 cm

(c) 3 cm

(d) 24 cm

## Answer

Answer: (b)

Hint:

Perimeter = 2 (4 + 2) cm = 12 cm.

Question 47.

The four angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The measure of its smallest angle is

(a) 120°

(b) 36°

(c) 18°

(d) 10°.

## Answer

Answer: (b)

Hint:

Sum of the ratios = 1 + 2 + 3 + 4 = 10

∴ Smallest angle = \(\frac{1}{10}\) × 360° = 36°

Question 48.

In a parallelogram ∠A : ∠B = 1 : 2. Then, ∠A =

(a) 30°

(b) 60°

(c) 45°

(d) 90°.

## Answer

Answer: (b)

Hint:

∠A + ∠B = 180°

∠A : ∠B = 1 : 2

Stun of the ratios = 1 + 2 = 3

∴ ∠A = \(\frac{1}{3}\) × 180° = 60°.

Question 49.

Two adjacent angles of a parallelogram are of equal measure. The measure of each angle of the parallelogram is

(a) 45°

(b) 30°

(c) 60°

(d) 90°.

## Answer

Answer: (d)

Hint:

x° + x° = 180° ⇒ x° = 90°.

Question 50.

ABCD is a parallelogram as shown. Find x and y.

(a) 1, 7

(b) 2, 6

(c) 3, 5

(d) 4, 4

## Answer

Answer: (c)

Hint:

x + y = 8

y + 5 = 10 ⇒ y = 5

∴ x + 5 = 8 ⇒ x = 3.

We hope the given NCERT MCQ Questions for Class 8 Maths Chapter 3 Understanding Quadrilaterals with Answers Pdf free download will help you. If you have any queries regarding Understanding Quadrilaterals CBSE Class 8 Maths MCQs Multiple Choice Questions with Answers, drop a comment below and we will get back to you soon.