CBSE Class 8 Mathematics Understanding Quadrilaterals Worksheet Set B

Question. If the measure of one angle of an isosceles triangle is 40⁰, another angle of the triangle CANNOT measure
(a) 40⁰
(b) 70⁰
(c) 80⁰
(d) 100⁰

Answer : C

Question. Kusum drew m figures like P on a page 1 and figure Q on page 2.
Compared to page 2, how many more straight lines are there on page 1

(a) 3
(b) 3m
(c) 8m - 1
(d) 8m - 5

Answer : D

Question. The roads connecting the houses of Ravi, Sunil, Kapil and Roger form a quadrilateral as shown here. Let us refer to the quadrilateral as KLMN. It is not known which corner is K, which is L, etc.
It is known that ∠ K +  ∠ M > 180° and that ∠ L is not the smallest angle of the quadrilateral.
(a) Ravi
(b) Sunil
(c) Kapil
(d) Roger

Answer : A

Question. In the figure shown below, PQRS is a square and TPS is an equilateral triangle. The bisectors of
angle PTS and angle QRS meet at point O.
What is the measure of angle TOR?

(a) 1350
(b) 1400
(c) 1450
(d) 1500

Answer : A

Question. Venu has a rectangular sheet of cardboard:  
With a single straight cut, he cuts the rectangular sheet into two pieces.
The total number of corners on the two resulting pieces COULD be

(a) 4
(b) 5
(c) 7
(d) 10

Answer : C

Question. Look at the polygons shown below. In each of them, ALL the diagonals drawn from ONE vertex are shown.
From these we can say that the number of diagonals that can be drawn from any one vertex of a 20-sided polygon is

(a) 20
(b) 19
(c) 17
(d) 16

Answer : C

Question. The figure given is NOT to scale.)
If KN | | LM, the sides of KLMN in increasing order are

(a) KL, KN, MN, LM
(b) KN, KL, MN, LM
(c) MN, KL, KN, LM
(d) KN, MN, KL, LM

Answer : B

Question. In the above figure, lines l and m are parallel.
What is the measure of ∠R?

(a) 100°
(b) 120°
(c) 120°
(d) 160°

Answer : C

Question. A part of quadrilateral EFGH is covered with an object X. Which of the following is DEFINITELY true about quadrilateral EFGH?

(a) It must be a parallelogram
(b) It must be a rectangle
(c) It must be a square
(d) none of the above

Answer : D

Question. What is the sum of all the interior angles (marked in the figure) of polygon PQRSTUV

(a) 360⁰
(b) 420⁰
(c) 720⁰
(d) 900⁰

Answer : D

Question. The chart given below puts quadrilaterals in different boxes according to certain conditions.
According to the conditions in this chart, which type of quadrilaterals will be placed in the box marked X?

(a) all those parallelograms which are not rectangles
(b) all those rhombuses which are not squares
(c) all rectangles
(d) all those rectangles which are not squares

Answer : A

Question. The roads connecting the houses of Ravi, Sunil, Kapil and Roger form a quadrilateral as shown here. Let us refer to the quadrilateral as KLMN. It is not known which corner is K, which is L, etc.
It is known that ∠ K + ∠ M > 180° and that ∠ L is not the smallest angle of the quadrilateral.

(a) Ravi
(b) Sunil
(c) Kapil
(d) Roger

Answer : A

Question. A parallelogram MNOP will be a rectangle when diagonals MO and NP
(a) are equal
(b) are perpendicular
(c) bisect each other
(d) intersect at an angle of 450

Answer : A

Question. According to the angle measures given, in which figure are lines l and m parallel? (The figures are NOT to scale)

Answer : D

Question. Nadeem wants to extend the flowchart further from R to specify whether a given quadrilateral is a square. What question should he put in the box below R?

(a) Are all the angles in the figure right angles?""
(b) Are the opposite sides equal?""
(c) Are any two adjacent sides of the figure equal?"   "
(d) Are the opposite angles of the figure equal?""

Answer : C

Question. ABCD is a quadrilateral. If AC and BD bisect each other, what is ABCD ?
(A) A square
(B) A parallelogram
(C) A rectangle
(D) All the above

Answer : D

Question. What do you call a parallelogram which has equal diagonals?
(A) A trapezium
(B) A rectangle
(C) A rhombus
(D) A kite

Answer : B

Question. In a square ABCD, the diagonals bisect at 0. What type of a triangle is AOB ?
(A) An equilateral triangle.
(B) An isosceles but not a right angled triangle.
(C) A right angled but not an isosceles triangle.
(D) An isosceles right angled triangle.

Answer : D

Question. The perimeter of a parallelogram is 180 cm. If one side exceeds the other by 1 0 cm, what are the sides of the parallelogram?
(A) 40 cm, 50 cm
(B) 45 cm each
(C) 50 cm each
(D) 45 cm, 50 cm

Answer : A

Question. ABCD and MNOP are quadrilaterals as shown in the figure.

Which of the following is correct?
(A) p + q + r + s = w + X + y + z
(B) p + q + r + s < w + x + y + z
(C) p + q + r + s > w + x + y + z
(D) Either (B) or (C)

Answer : A

Question. If ABCD is an isosceles trapezium, what is the measure of ∠ C?
(A) ∠ B
(B) ∠ A
(C) ∠ D
(D) 90°

Answer : C

Question. ABCD is a parallelogram. The angle bisectors of ∠ A and ∠ D meet at 0. What is the measure of ∠ AOD?
(A) 45°
(B) 90°
(C) 75°
(D) 180°

Answer : B

Question. The diagonal of a rectangle is 10 em and  its breadth is 6 em. What is its length ?
(A) 6 cm
(B) 5 cm
(C) 8 cm
(D) 4 cm

Answer : C

Question. A diagonal of a rectangle is inclined to one side of the rectangle at 25°. What is the measure of the acute angle between the diagonals ?
(A) 25°
(B) 40°
(C) 50°
(D) 55°

Answer : C

Question. If angles P, Q, R and S of the quadrilateral PQRS, taken in order, are in the ratio 3 : 7 : 6 : 4, what is PQRS?
(A) A rhombus
(B) A parallelogram
(C) A trapezium
(D) A kite

Answer : C

Question. In the quadrilateral ABCD, the diagonals AC and BD are equal and perpendicular to each other. What type of a quadrilateral is ABCD?
(A) A square
(B) A parallelogram
(C) A rhombus
(D) A trapezium

Answer : A

Question. ABCD is a parallelogram as shown in the figure. If AB = 2AD and Pis the mid-point of AB, what is the measure of ∠ CPD?

(A) 90°
(B) 60°
(C) 45°
(D) 135°

Answer : A

Question. In a parallelogram ABCD, if AB = 2x + 5, CD = y + 1, AD = y + 5 and BC = 3x - 4, what is the ratio of AB and BC ?
(A) 71 : 21
(C) 31:35
(B) 12: 11
(D) 4:7

Answer : C

Please refer to attached file for CBSE Class 8 Mathematics Worksheet - Understanding Quadrilaterals