Question

Class 8 Maths MCQ Questions of Understanding Quadrilaterals with Answers?

Answer 1

Class 8 Maths Understanding Quadrilaterals manages various types of quadrilaterals and their properties. Solving the part astute questions will assist understudies with getting ideas and help to score great marks in tests. Likewise, learn MCQ Questions for class 8 Maths here. Solving the section astute Questions will assist students with getting ideas and help to score great marks in tests. Likewise, learn significant Questions for class 8 Maths here.

Understanding Quadrilaterals depends on the essential ideas of Quadrilaterals and the Questions given in the portion by Sarthaks eConnect will assist students with planning the last, most important tests. Students can practice these Questions to score great marks. Every questions comprises four different alternatives, out of which one is the right answer. Students need to take care of the issue and select the right answer. 

Practice MCQ Question for Class 8 Maths chapter-wise

1. How many maximum medians may be in a triangle?

(a) 1
(b) 2
(c) 3
(d) 4

2. What is the number of vertices of a triangle?

(a) 1
(b) 2
(c) 3
(d) 4

3. How many diagonals does a quadrilateral have?

(a) 1
(b) 2
(c) 3
(d) 4

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

(a) 90º
(b) 180º
(c) 360º
(d) 720º

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

(a) 90º
(b) 180º
(c) 360º
(d) 720º

6. How many diagonals does a regular hexagon have?

(a) 2
(b) 0
(c) 4
(d) 9

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

(a) 900º
(b) 1080º
(c) 1440º
(d) 720º

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

(a) 900º
(b) 1080º
(c) 1440º
(d) 720º

9. 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°

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

(a) Equilateral triangle
(b) Square
(c) Regular hexagon
(d) Regular octagon

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

(a) 65º
(b) 75º
(c) 135º
(d) 85º

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

(a) 45º
(b) 30º
(c) 60º
(d) 90º

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

(a) 90º
(b) 140º
(c) 150º
(d) 70º

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

(a) 190º
(b) 180º
(c) 360º
(d) 90º

15. 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) 30º
(b) 60º
(c) 75º
(d) 45º

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

(a) 30º
(b) 40º
(c) 60º
(d) 45º

17. 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

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

(a) 12
(b) 24
(c) 9
(d) 6

19. 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

20. 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

21. 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°

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

(a) 30°
(b) 60°
(c) 45°
(d) 90°

23. The perimeter of a parallelogram is 140 cm. If one of the sides is longer than the other by 10 cm, find the length of each of its sides

(a) 40cm,30cm
(b) 60cm,50cm
(c) 50cm,40cm
(d) none of the above

24. In a parallelogram ABCD, if AB = 2x + 5, CD = y + 1, AD = y + 5 and BC = 3x – 4 then ratio of AB : BC

(a) 31 : 35
(b) 71 : 21
(c) 12 : 11
(d) 4 : 7

25. If a quadrilateral has two adjacent sides equal and the other two sides equal it is called

(a) kite
(b) square
(c) parallelogram
(d) rectangle

Answer 2

 1. Answer: (c) 3

Explanation:  There are 3 median in a triangle.

2. Answer:  (c) 3

Explanation: The number of vertices of a triangle is 3

3. Answer: (b) 2

Explanation: The two diagonals of a convex quadrilateral are the line segments that connect opposite vertices.

4. Answer:  (b) 180º

Explanation:  Let ABC be a triangle.

Through point A draw the line EF∥ BC.

⇒  ∠ABC=∠EAB     ....[ Alternate interior angles ]

⇒  ∠BCA=∠FAC     ....[ Alternate interior angles ]

⇒  ∠EAB+∠BAC+∠FAC=180º  ....[ Linear pairs ].

By substituting ∠EAB =∠ABC and ∠FAC =∠BCA

⇒  ∠ABC+∠CAB+∠ACB = 180º

∴  The sum of all the three angles in a triangle is 180º

5. Answer:  (c) 360º

Explanation: As we know that the sum of the measure of all the three angles of a triangle is 180°.

Similarly, the sum of the measure of all the four angles of a quadrilateral is 360º.

6. Answer:  (d) 9

Explanation: The number of diagonals of an n sided polygon is given by \(D_n=\frac{n(n-3)}{2}\)

A convex regular hexagon has 6 sides. 

So, n=6

\(D_6=\frac{6(6-3)}{2}\)

= 9

7. Answer: (a) 900º

Explanation:  n = 7

(n – 2) 180° 

(7 - 2) 180° 

= 900º

8. Answer:  (b) 1080º

Explanation: n = 7

(n – 2) 180° 

(8 - 2) 180° 

= 1080º

9. Answer:  (a) (n – 2) 180°

Explanation:  The angle sum of a convex polygon with number of sides n is (n – 2) 180°

10. Answer:  (a) Equilateral triangle

Explanation: A triangle in which all three sides are the same length is called an Equilateral triangle.

11. Answer:  (c) 135º

Explanation: Fourth angle = 360º – (65º + 75º + 85º)

= 135º

12. Answer: (d) 90º

Explanation: Measure of each angle

= 360º/4

= 90º

13. Answer:  (c) 150º

Explanation:  Fourth angle = 360º – (70º + 70º + 70º)

= 150°

14. Answer:  (a) 190º

Explanation: Sum = 360º – (130º + 40º) = 190º.

15. Answer: (c) 75º

Explanation: Required measure \(\frac{360º-(110º+100º)}{2}\)

= 75º

16. Answer:  (b) 40º

Explanation: 360º/9

= 40º

17. Answer:  (c) 15

Explanation: Number of sides

= 360º/24º

= 15

18. Answer:  (b) 24

Explanation: Exterior angle = 180º – 165º 

= 15°

∴ Number of sides

= 360º/15º

= 24

19. Answer:  (c) 7

Explanation: Sum of interior angles of polygon =10 right angles = 10 × 90°

 = 900° (given)

But sum of interior angles of a polygon = (2n−4) right angles.

i.e. 900 = (2n−4) × 90°

⇒180n −360 = 900

⇒180n = 900+360

n = 1260/180

n = 7

Hence the required number of sides = 7

20. Answer:  (b) 120°

Explanation: ∠A = 60°, therefore the opposite angle C = 60° 

∠B =∠D [Rule of parallelogram] as they are opposite angles.

Let ∠B and ∠D be x

⇒ x + x +∠A +∠B = 360° [ sum of all sides of a polygon ]

⇒ 2x+60 +60 = 360° 

⇒ 2x = 240°

⇒ x = 120°

∴∠D = 120°

Hence, the answer is 120°

21. Answer: (b) 36°

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

 Smallest angle = \(\frac{1}{10}\times360°\)

= 36°

22. Answer: (b) 60°

Explanation: ∠A + ∠B = 180°

∠A : ∠B = 1 : 2

Stun of the ratios = 1 + 2 = 3

 ∠A  = \(\frac{1}{3}\times180°\)

= 60°

23. Answer:  (a) 40cm,30cm

Explanation: The perimeter of a parallelogram is 140 cm. If one of the sides is longer than the other by 10 cm.

Let  smaller side (a) =x  then longer side (b) = x + 10

Perimeter =2(a+b) =  2(x+x+10) = 140  

=>  x = 30

Smaller side = 30cm

Larger side =30+10 = 40 cm

24. Answer: (a) 31 : 35

Explanation: In a parallelogram opposite side are congruent 

Hence AB=CD and BC=AD 

Now 2x+5=y+1 and 3x−4=y+5 

On solving these equations we will get 

2x−y =−4......(1)

And 3x−y = 9......(2)

Now on solving these equation, we will get x =13 and y = 30 

Hence AB = 2x+5 = 2(13) + 5 =31 

And BC = 3x−4 =3(13) −4 =35

Hence AB:BC = 31:35

25. Answer: (a) kite

Explanation: Kite a quadrilateral is a kite if it has two pairs of equal adjacent sides and unequal opposite sides. Kite a quadrilateral is a kite if it has two pairs if equal adjacent sides and unequal opposite sides.

Click here Practice MCQ Question for Understanding Quadrilaterals Class 8