Understanding Quadrilaterals Class 8 MCQ Maths Chapter 3

MCQ on Understanding Quadrilaterals for Class 8

Class 8 Maths Chapter 3 Understanding Quadrilaterals MCQ

MCQ of Understanding Quadrilaterals Class 8

I. Choose the correct answer.

Question 1.
In which of the following diagonals are perpendicular to each other ?
A) Kite
B) Rectangle
C) Rhombus
D) Parallelogram
Answer:
C) Rhombus

Question 2.
ABCD is a parallelogram and ∠A = 65°, then ∠D = ________
A) 65°
B) 180°
C) 110°
D) 115°
Answer:
D) 115°

Question 3.
One side of a parallelogram is 6.5 cm, whose perimeter is 20 cm, then adjacent side to given side ___________ .
A) 6.5 cm
B) 3.5 cm
C) 10 cm
D) 16.5 cm
Answer:
B) 3.5 cm

Question 4.
Which of the following is not a polygon.

Answer:

Question 5.
Which of the following is not closed ?

Answer:

Question 6.
Which of the following is a convex polygon ?

D) none
Answer:
D) none

Question 7.
A regular polygon has ________ .
A) all equal sides
B) all equal angles
C) either ‘a’ or ‘b’
D) ‘a’ and ‘b’
Answer:
D) ‘a’ and ‘b’

Question 8.
Which of the following is a regular polygon ?
A) equilateral triangle
B) square
C) pentagon with equal sides and equal angles
D) all the above
Answer:
D) all the above

Question 9.
Which of the following is not a regular polygon ?

Answer:

Question 10.
Sum of angles in a quadrilateral is _________ .
A) 4 right angles
B) 3 right angles
C) 2 right angles
D) none
Answer:
A) 4 right angles

Question 11.
is an example for __________ .
A) convex polygon
B) concave polygon
C) regular polygon
D) none
Answer:
D) none

Question 12.
Sum of all interior angles of n – polygon = _________ .
A) 4n × 90°
B) (n – 4) × 90°
C) (2n + 4) × 90°
D) (2n – 4) × 90° or (n – 2) × 180°
Answer:
D) (2n – 4) × 90° or (n – 2) × 180°

Question 13.
Sum of measures of exterior angles (external angles) _________ .
A) 360°
B) 4n × 90°
C) (2n + 2) × 90°
D) none
Answer:
A) 360°

Question 14.
If each exterior angle of a regular decagon is __________ .
A) 45°
B) 40°
C) 36°
D) 90°
Answer:
C) 36°

Question 15.
Highest exterior angle in the following quadrilateral is __________ .

A) 36°
B) 72°
C) 180°
D) 144°
Answer:
D) 144°

Question 16.
is not a kite because
A) Adjacent sides are not equal
B) There are no two distinct consecutive pairs of equal length
C) All sides are not equal
D) Opposite sides are not equal
Answer:
B) There are no two distinct consecutive pairs of equal length

Question 17.
\(\overline{\mathbf{A B}}\) || \(\overline{\mathbf{C D}}\) and \(\overline{\mathbf{A D}}\) is not paralle to \(\overline{\mathbf{B C}}\), then ABCD is a _________ .
A) parallelogram
B) trapezium
C) rhombus
D) kite
Answer:
B) trapezium

Question 18.
PQRS is a kite in which \(\overline{\mathbf{P Q}}\) = 4 cm and \(\overline{\mathbf{Q R}}\) = 6 cm, then \(\overline{\mathbf{P S}}\) + \(\overline{\mathbf{R S}}\) = ________ cm.
A) 10 cm
B) 14 cm
C) 20 cm
D) 18 cm
Answer:
A) 10 cm

Question 19.
Assertion (A) : ∠R = 60° = ∠N, ∠I = 120° = ∠G and RI = NG , GR = NI, then RING is a parallelogram
Reason (R): Opposite sides of a parallelogram are equal. Sum of adjacent angles is 180°
A) Both A, R are correct and ’R’ is reason for A
B) Both A, R are wrong
C) ‘A’ is correct, ‘R’ is wrong and ‘R’ is correct
D) Both ‘A’ is wrong and ‘R’ is correct
Answer:
A) Both A, R are correct and ’R’ is reason for A

Question 20.
’SAHI’ is a parallelogram in which ∠S = 110°, then _________ .
A) ∠A = 110°, ∠H = 70°, ∠I = 70°
B) ∠A = 70°, ∠H = 70°, ∠I = 110°
C) ∠A = 70°, ∠H = 110°, ∠I = 70°
D) ∠A = 110°, ∠H = 110°, ∠I = 110°
Answer:
C) ∠A = 70°, ∠H = 110°, ∠I = 70°

Question 21.
’NAME’ is Rhombus as shown below

then \(\overline{\mathbf{N M}}\) + \(\overline{\mathbf{E A}}\) = ___________ cm.
A) 16
B) 26
C) 22
D) 32
Answer:
D) 32

Question 22.
Diagonals of ‘KLMN’ are equal and bisects perpendiculars. Then ‘KLMN’ is a ___________
A) square
B) rectangle
C) diamond
D) none
Answer:
A) square

Question 23.
A quadrilateral is parallelogram, rhombus and also a rectangle. Then it is ________
A) square
B) rectangle
C) kite
D) rhombus
Answer:
A) square

Question 24.
Which of the following has the property “diagonals are perpendicular to each other” ?
p) parallelogram
q) rhombus
r) rectangle
s) square
t) kite

A) p, q, r
B) q, r, s
C) q, r, s, t
D) p, q, r, s, t
Answer:
C) q, r, s, t

Question 25.
Which of the following has property “only one pair of opposite angles are equal” ?
A) square
B) rhombus
C) rectangle
D) kite
Answer:
D) kite

Choose right option from the following for Q.No 26 to 29.
A) Both A and R are true and ‘R’ is correct explanation of ‘A’.
B) Both ‘A’ and ‘R’ are false.
C) Both ‘A’ and ‘R’ are true but ‘R’ is not correct explanation of ‘A’.
D) Either ‘A’ or ‘R’ is true

Question 26.
Assertion (A) : The measure of each exterior angle of a regular polygon of 10 sides is 36°.
Reason (R) : All exterior angles of a regular n-polygon are equal and sums to 360°
Answer:
A) Both A and R are true and ‘R’ is correct explanation of ‘A’.

Question 27.
Assertion (A) : All the parallelograms are rectangles.
Reason (R) : All the rectangles are parallelograms.
Answer:
D) Either ‘A’ or ‘R’ is true

Question 28.
Assertion (A) : If one angle of parallelogram measures 90°, then it is rectangle.
Reason (R): Rectangle is a quadrilateral with equal opposite sides and each angle right angle.
Answer:
A) Both A and R are true and ‘R’ is correct explanation of ‘A’.

Question 29.
Assertion (A) : The diagonals of a square bisect each other perpendicularly.
Reason (R) : The diagonals of square are not in equal lengths.
Answer:
D) Either ‘A’ or ‘R’ is true

Question 30.
All squares are parallellogram (True /False)
Answer:
True

Question 31.
Which among the following has the most number of diagonals ?
A) Triangle
B) Quadrilateral
C) Pentagon
D) Can not determined
Answer:
C) Pentagon

Question 32.
What is the measure of any exterior angle of a regular nonegon ?
A) 40°
B) 100°
C) 140°
D) 90°
Answer:
A) 40°

Question 33.
If two adjacent sides of a quadrilateral are equal, then the quadra lateral is known as _________
A) Rhombus
B) Trapezium
C) Parallelogram
D) Kite
Answer:
A) Rhombus

Question 34.
If you a draw a quadrilateral and then draw all its diagonals, then how many triangles can you find ?
A) 3
B) 2
C) 8
D) 1
Answer:
C) 8

Question 35.
In parallelogram ABCD, which of the two angles are equal ?
A) Angles A & B
B) Angles B & C
C) Angles A & C
D) Angles C & D
Answer:
C) Angles A & C

Question 36.
A quadrilateral has two of its angles as 30° and 40°. What type of quadrilateral can it he?
A) Trapezium
B) Square
C) Parallelogram
D) Rectangle
Answer:
A) Trapezium

Question 37.
Which of the following are definitely regular polygons?
A) Triangle
B) Square
C) Rectangle
D) Kite
Answer:
B) Square

Question 38.
Two sides of kite have lengths 7.8 cm. and 11 cm. then the perimeter of the kite is ________
A) 45.5 cm
B) 48.3 cm
C) 37.6 cm
D) 55 cm
Answer:
C) 37.6 cm

Question 39.
In a parallelogram ABCD, determine the sum of angles ∠B, ∠C and ∠D if ∠A = 60° ?
A) 300°
B) 120°
C) 200°
D) 240°
Answer:
A) 300°

Question 40.
In the following figure, what will be the measure of the angle marked ‘?’

A) 30°
B) 80°
C) 70°
D) 110°
Answer:
D) 110°

Question 41.
What is the measure of the smaller angle in the rhombus below ?

A) 108°
B) 72°
C) 58°
D) 22°
Answer:
B) 72°

Question 42.
Shown here is a trapezium PQRS with PS parallel to QR.

(Note : The figure is not to scale.)
What is the area of trapezium PQRS ?
A) 32 cm²
B) 40 cm²
C) 44.62 cm²
D) 64 cm²
Answer:
A) 32 cm²

Question 43.
Sum of interior angles of a polygon of 5 sides
A) 180°
B) 360°
C) 540°
D) 720°
Answer:
C) 540°

Question 44.
In which of the following quadrilateral diagonals are perpendicular and bisects each other
A) Rhombus
B) Rectangle
C) Trapezium
D) Kite
Answer:
A) Rhombus

Question 45.
In a convex polygon, all the interior angles must be less than ________
A) 90°
B) 180°
C) 60°
D) 360°
Answer:
B) 180°

Question 46.

In the above figures which are concave polygons
A) (i), (ii)
B) (i), (iii)
C) (ii), (iv)
D) (i), (ii), (iii)
Answer:
B) (i), (iii)

Question 47.
In a parallelogram ABCD if ∠B : ∠C = 3 : 2 then find the measure of 2∠A ?

A) 36°
B) 72°
C) 108°
D) 144°
Answer:
D) 144°

Question 48.
What type of quadrilateral has all sides equal and two adjacent angles measur-ing 150° and 30° ?
A) kite
B) rhombus
C) square
D) parallelogram
Answer:
B) rhombus

II. Fill in the blanks.

1. Each of angle in Rectangle is _________ .
Answer:
90°

2. MNOP is kite ∠N = ∠P ; ∠M = 65°, then ∠O = _________ .
Answer:
65°

3. All _________ are rectangles.
Answer:
squares

4. One of the angles in a parallelogram is 90°. Then we can say it is _________ .
Answer:
Rectangle

5. If both diagonals lie in its interior, then it is called __________ quadrilateral.
Answer:
convex

6. In the given rectangle, the length of diagonal is ___________ .

Answer:
14 units

7. ___________ are perpendicular in square but not in parallelogram.
Answer:
diagonals, sides

8. ∠P = ∠Q = ∠R = ∠S and PQ = RS; PQ ≠ QR, then PQRS is a _________ .
Answer:
rectangle

9. Diagonals of ‘KLMN’ are perpendicular bisectors of one another and no two angles are equal. Then KLMN is a _________ .
Answer:
rhombus

10. A regular polygon has 12 sides. Then each of its exterior angle is _________ .
Answer:
30°

11. Sum of all exterior angles of a 21 sided polygon is _________ .
Answer:
360°

12. Value of (x) in the following is _________ .

Answer:
140°

13. ‘PQRST’ is a regular pentagon. Then sum of interior and exterior angles at each of its vertex is _________ .
Answer:
180°

14. Interior angle at a vertex of a polygon is 36°, then value of exterior angle at that point is _________ .
Answer:
144°

15. External angles of a regular polygon = _________ . (Give formula)
Answer:
\(\frac{360}{5}\) (∵ \(\frac{360}{4}\))

III. Match the following.

Question 1.

A	B
1) All sides and angles equal	a) 50°
2) Only one set of opposite angles equal	b) 18
3) One side and perimeter of a parallelogram are 12 and 60 cm. Then adjacent side is ___________.	c) kite
4) Both ABCD, K.LMN are parallelograms, then the valu& of x° = _________ .	d) rectangle
5) Diagonals bisects but not perpendicularly	e) square

Answer:
(1, e) (2, c) (3, b), (4, a) (5, d)

A	B
1) All sides and angles equal	e) square
2) Only one set of opposite angles equal	c) kite
3) One side and perimeter of a parallelogram are 12 and 60 cm. Then adjacent side is ____________ .	b) 18
4) Both ABCD, K.LMN are parallelograms, then the valu& of x° = _________ .	a) 50°
5) Diagonals bisects but not perpendicularly	d) rectangle

Class 8 Maths MCQ