CBSE Class 8 Mathematics Understanding Quadrilaterals Assignments Set B

Question. ABCD is a rhombus in which the altitude from D to side AB bisects AB. Then ∠A and ∠B respectively, are ________.
(A) 60°, 120°
(B) 120°, 60°
(C) 80°, 100°
(D) 100°, 80°
Answer : A

Question. The ratio of two sides of a parallelogram is 3 : 5 and its perimeter is 48 cm. Then, the sides of the parallelogram are _______.

(A) 9 cm, 16 cm
(B) 9 cm, 15 cm
(C) 8 cm, 15 cm
(D) 6 cm, 10 cm
Answer : B

Question. In the given figure, line RT is drawn parallel to SQ. If ∠QPS = 100°, ∠PQS = 40°, ∠PSR = 85° and ∠QRS = 70°, then ∠QRT = ________.
(A) 45°
(B) 65°
(C) 85°
(D) 90°
Answer : B

Question. Which of the quadrilaterals is NOT a parallelogram?
(A) Rectangle
(B) Square
(C) Kite
(D) Rhombus
Answer : C

Question. Match the following :

(A) (P) → (1), (Q) → (2), (R) → (3), (S) → (4)
(B) (P) → (3), (Q) → (4), (R) → (1), (S) → (2)
(C) (P) → (4), (Q) → (2), (R) → (3), (S) → (1)
(D) (P) → (4), (Q) → (3), (R) → (2), (S) → (1)
Answer : B

Question. In the given figure (not drawn to scale), DO and CO are the bisectors of ∠ADC and ∠BCD respectively. If ∠ADC = ∠BCD = 60° and ∠DAB = 100°, find the measure of ∠DOC and ∠ABC respectively.

(A) 100°, 160°
(B) 110°, 150°
(C) 120°, 140°
(D) 110°, 130°
Answer : C

Question. Which of the following can never be the measure of exterior angle of a regular polygon?
(A) 22°
(B) 36°
(C) 45°
(D) 30°
Answer : A

Question. The exterior angle of a regular polygon is one-third of its interior angle. How many sides does the polygon has?
(A) 10
(B) 8
(C) 9
(D) 13
Answer : B

Question. Which of the following statements is CORRECT ?
(A) The diagonals of a parallelogram are equal.
(B) The diagonals of a rectangle are perpendicular to each other.
(C) If the diagonals of a quadrilateral intersect at right angles, it is not necessarily a rhombus.
(D) Every quadrilateral is either a trapezium or a parallelogram or a kite.
Answer : C

Question. If each pair of opposite sides of a quadrilateral are equal and parallel, then it is a _______.
(A) Kite
(B) Trapezium
(C) Parallelogram
(D) None of these
Answer : C

Question. The given quadrilateral EFGH is a ________.

(A) Parallelogram
(B) Concave quadrilateral
(C) Convex quadrilateral
(D) Trapezium
Answer : B

Question. Four angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The difference between the greatest and the smallest angle is ________.
(A) 125°
(B) 75°
(C) 108°
(D) 120°
Answer : C

Question. A trapezium in which non-parallel sides are equal is said to be ________.
(A) Right trapezium
(B) Equilateral trapezium
(C) Isosceles trapezium
(D) None of these
Answer : C

Question. If the diagonals of a quadrilateral bisect each other at right angle, then it is a _______.
(A) Kite
(B) Parallelogram
(C) Rhombus
(D) Rectangle
Answer : C

Question. The quadrilateral having only one pair of opposite sides parallel is called a ______ .
(A) Square
(B) Rhombus
(C) Trapezium
(D) Parallelogram
Answer : C

Question. The theatre in the town is built in the form of a kite. Its perimeter is 100 m. If one of its sides is 20 m, then what are the lengths of other sides?
(A) 20 m, 30 m, 30 m
(B) 30 m, 40 m, 40 m
(C) 20 m, 40 m, 32 m
(D) 30 m, 40 m, 50 m
Answer : A

Question. Vikas’s garden is in the form of a parallelogram whose one side is 4.8 cm and other side is 1(1/2) times of this side. He wants to fence his garden four times by a wire. Find the length of the wire required.
(A) 96 cm
(B) 108 cm
(C) 132 cm
(D) 84 cm
Answer : A

Question. Fill in the blanks.
(i) Sum of interior angles of a polygon of n sides is P right angles
(ii) The measure of at least one Q angle of a concave quadrilateral is more than 180°.
(iii) A quadrilateral which has only one pair of equal opposite angles is R .
(iv) Sum of all exterior angles of a polygon of n sides is S .

Answer : C

Question. The number of sides of a regular polygon whose each exterior angle has a measure of 30° is _______.
(A) 12
(B) 6
(C) 8
(D) 10
Answer : A

Question. In the given figure, the value of x is_____.

(A) 120°
(B) 140°
(C) 160°
(D) 130°
Answer : B

Question. ABCD is a parallelogram.
Find the angles x, y and z in the given figure.
(A) 40°, 50°, 60°
(B) 60°, 60°, 60°
(C) 50°, 50°, 50°
(D) 60°, 70°, 70°
Answer : C

Question. Select the INCORRECT statement.
(A) Every rectangle is a trapezium.
(B) A quadrilateral can be drawn if all four sides and one angle is known.
(C) Triangle is a polygon whose sum of exterior angles is double the sum of interior angles.
(D) If diagonals of a quadrilateral are equal, it must be a rectangle.
Answer : A

Question. A field is in the form of an isosceles trapezium whose perimeter is 215 m. One of its non-parallel side is 50 m. What is the sum of its parallel sides?
(A) 115 m
(B) 60 m
(C) 165 m
(D) 135 m
Answer : A

Question. Rohit has 6 wooden sticks of equal length. He wants to join all of them in such a way that they make a regular polygon.
At what internal angle he has to join wooden stick with each other?
(A) 105°
(B) 120°
(C) 115°
(D) 90°
Answer : B

Question. Atul is playing in a playground which is of the form of a parallelogram. He observes that the diagonals of the playground are 80 m and 60 m long. So, the playground is in the shape of _______.
(A) Rectangle
(B) Rhombus
(C) Kite
(D) Square
Answer : B

Questions carrying 1 Mark each :-

Q.1 What is the sum of the measures of the four angles of a quadrilateral?

Q.2 If the diagonals of a quadrilateral bisect each other at right angle, the quadrilateral is called ..............

Q.3 The adjacent angles in a parallelogram are.............

Q.4 State true or false :

A pentagon is a concave polygon.

Q.5 A regular polygon is both equiangular and..........

Questions carrying 2 Marks each :-

Q.6 The adjacent sides of a parallelogram are in the ratio 3:7 and its perimeter is 100 cm. Find the sides of the parallelogram.

Q.7 The angles of a quadrilateral are in the ratio 2:3:4:6. Find the measure of the angles.

Q.8 Find the number of sides of a regular polygon whose each exterior angle has a measure of 36°.

Q.9 The sumof the exterior angles of any polygon is:

a) 180° b) 360° c) 90° d) 60°

Q.10 Which of the following is a regular polygon:

a) Isosceles triangle

b) Square

c) Parallelogram

d) Rhombus

c) Parallelogram

d) Rhombus

Q.11 The opposite angles of a _______ are equal.

a) Parallelogram

b) Rhombus

c) Trapezium

d) None of these

Refer to attached file for detailed assignment CBSE Class 8 Mathematics Understanding Quadrilaterals Assignments Set B