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NCERT Class 8 Mathematics MCQ
Understanding Quadrilaterals
with Answers
Question : Which one of the following is a regular quadrilateral?
(a) Square
(b) Trapezium
(c) Kite
(d) Rectangle
Answer : (a)Show Answer :
Explanation: A square has all its sides equal and angles equal to 90 degrees.
Question : The perimeter of a parallelogram whose parallel sides have lengths equal to 12 cm and 7cm is:
(a) 21cm
(b) 42 cm
(c) 19 cm
(d) 38 cm
Answer : (d)Show Answer :
Explanation: Perimeter of parallelogram = 2(Sum of Parallel sides)
P = 2 (12 + 7)
P = 2 (19)
P = 38 cm
Question : If ∠A and ∠C are two opposite angles of a parallelogram, then:
(a) ∠A > ∠C
(b) ∠A = ∠C
(c) ∠A < ∠C
(d) None of the above
Answer : (b)Show Answer :
Explanation: Opposite angles of a parallelogram are always equal.
Question : If ∠A and ∠B are two adjacent angles of a parallelogram. If ∠A = 70°, then ∠B = ?
(a) 70°
(b) 90°
(c) 110°
(d) 180°
Answer : (c)Show Answer :
Explanation: The adjacent angles of parallelogram are supplementary.
∠A + ∠B = 180°
70° + ∠B = 180°
∠B = 180 – 70° = 110°
Question : ABCD is a rectangle and AC & BD are its diagonals. If AC = 10cm, then BD is:
(a) 10 cm
(b) 5 cm
(c) 15 cm
(d) 20 cm
Answer : (a)Show Answer :
Explanation: The diagonals of a rectangle are always equal.
Question : Each of the angles of a square is:
(a) Acute angle
(b) Right angle
(c) Obtuse angle
(d) 180 degrees
Answer : (b)Show Answer :
Explanation: All the angles of square is at right angle.
Question : Which of the following is not a quadrilateral?
(a) Square
(b) Rectangle
(c) Triangle
(d) Parallelogram
Answer : (c)Show Answer :
Explanation: A quadrilateral is a four-sided polygon but triangle is a three-sided polygon.
Question : Which of the following quadrilaterals have two pairs of adjacent sides equal and its diagonals intersect at 90 degrees?
(a) Square
(b) Kite
(c) Rhombus
(d) Rectangle
Answer : (b)Show Answer :
Question : If AB and CD are two parallel sides of a parallelogram, then:
(a) AB>CD
(b) AB<CD
(c) AB=CD
(d) None of the above
Answer : (c)Show Answer :
Question : The quadrilateral whose diagonals are perpendicular to each other is:
(a) Parallelogram
(b) Rectangle
(c) Kite
(d) Rhombus
Answer : (d)Show Answer :
Question : If ABCD is an isosceles trapezium, what is the measure of ∠C?
(a) ∠B
(b) ∠A
(c) ∠D
(d) 90°
Answer :(c) ∠DShow Answer :
Question : What is the number of vertices of a triangle ?
(a) 1
(b) 2
(c) 3
(d) 4.
Answer :(c) 3Show Answer :
Question : The perimeter of a parallelogram whose parallel sides have lengths equal to 12 cm and 7cm is:
(a) 21cm
(b) 42 cm
(c) 19 cm
(d) 38 cm
Answer :(d) 38 cmShow Answer :
Question : What is the name of a regular polygon of 6 sides
(a) Square
(b) Equilateral triangle
(c) Regular hexagon
(d) Regular Octagon
Answer :(c) Regular hexagonShow Answer :
Question : Which of the following quadilaterals has two pairs of adjacent sides equal and diagonals intersecting at right angles?
(a) square
(b) rhombus
(c) kite
(d) rectangle
Answer :(c) kiteShow Answer :
Question : State the name of a regular polygon of 6 sides.
(a) pentagon
(b) hexagon
(c) heptagon
(d) none of these
Answer :(d) hexagonShow Answer :
Question : What is the number of vertices of a quadrilateral ?
la) 1
(b) 2
(c) 3
(d) 4.
Answer :(d) 4.Show Answer :
Question : If ∠A and ∠B are two adjacent angles of a parallelogram. If ∠A = 70°, then ∠B = ?
(a) 70°
(b) 90°
(c) 110°
(d) 180°
Answer :(c) 110°Show Answer :
Question : In an isosceles parallelogram, we have
(a) pair of parallel sides equal
(b) pair of non-parallel sides equal
(c) pair of non-parallel sides as perpendicular
(d) none of these.
Answer :(d) None of these.Show Answer :
Question : How many diagonals does a rectangle have?
(a) 2
(b) 1
(c) 0
(d) none of these
Answer :(a) 2Show Answer :
Question : A _ is both ‘equiangular’ and ‘equilateral’.
(a) regular polygon
(b) triangle
(c) quadrilateral
(d) none of these
Answer :(a) regular polygonShow Answer :
Question : The sum of the measures of all the three angles of a triangle is
la) 90°
(b) 180°
(c) 360°
(d) 720°.
Answer :(d) 180°Show Answer :
Question : ABCD is a rectangle and AC & BD are its diagonals. If AC = 10cm, then BD is:
(a) 10 cm
(b) 5 cm
(c) 15 cm
(d) 20 cm
Answer :(a) 10 cmShow Answer :
Question : Which of the following is true for the adjacent angles of a Parallelogram?
(a) They are equal to each other
(b) They are complementary angle,
(c) They are supplementary angles
(d) None of these
Answer :(c) They are supplementary anglesShow Answer :
Question : ABCD is a parallelogram. The angle bisectors of ∠A and ∠D meet at O. What is the measure of ∠AOD?
(a) 45°
(b) 90°
(c) 75°
(d) 180°
Answer :(d) 90°Show Answer :
Question : Which one of the following is a regular quadrilateral?
(a) Square
(b) Trapezium
(c) Kite
(d) Rectangle
Answer :(a) SquareShow Answer :
Question : How many diagonals does a triangle have ?
(a) 0
(b) 1
(c) 2
(d) 4.
Answer :(a) 0Show Answer :
Question : Which of the following is not a quadrilateral?
(a) Square
(b) Rectangle
(c) Triangle
(d) Parallelogram
Answer :(c) TriangleShow Answer :
Question : 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 :(d) Each square is a parallelogramShow Answer :
Question : State the name of a regular polygon of 6 sides.
(a) pentagon
(b) hexagon
(c) heptagon
(d) none of these
Answer :(d) hexagonShow Answer :
Question : The sides of a pentagon are produced in order. Which of the following is the sum of its exterior angles?
(a) 540°
(b) 180°
(c) 720°
(d) 360°
Answer :(d) 360°Show Answer :
Question : The angle sum of a convex polygon with number of sides 7 is
(a) 900°
(b) 1080°
(c) 1440°
(d) 720°.
Answer :(a) 900°Show Answer :
Question : If AB and CD are two parallel sides of a parallelogram, then:
(a) AB>CD
(b) AB<CD
(c) AB=CD
(d) None of the above
Answer :(c) AB=CDShow Answer :
Question : In a parallelogram ∠A : ∠B = 1 : 2 then ∠1 is
(a) 90°
(b) 45
(c) 60°
(d) 30°
Answer :(c) 60°Show Answer :
Question : Which of the parallelograms has all sides equal and diagonals bisect each other at right angle?
(a) square
(b) rectangle
(c) rhombus
(d) trapezium.
Answer :(c) rhombusShow Answer :
Question : The angle sum of a convex polygon with number of sides 10 is
(a ) 720°
(b) 900°
(c) 1080°
(d) 1440°.
Answer :(d) 1440°.Show Answer :
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) A squareShow Answer :
Question :The opposite sides of a parallelogram are of ________ length.
(a) not equal
(b) different
(c) equal
(d) none of these
Answer : (c) equalShow Answer :
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) A squareShow Answer :
Question :If ABCD is an isosceles trapezium, what is the measure of ∠C?
(a) ∠B
(b) ∠A
(c) ∠D
(d) 90°
Answer : (c) ∠DShow Answer :
Question :Which of the following is true for the adjacent angles of a parallelogram?
(a) they are equal to each other
(b) they are complementary angles
(c) they are supplementary angles
(d) none of these.
Answer : (c) they are supplementary anglesShow Answer :
Question :State the name of a regular polygon of 6 sides.
(a) pentagon
(b) hexagon
(c) heptagon
(d) none of these
Answer : (b) hexagonShow Answer :
Question :The diagonal of a rectangle is 10 cm and its breadth is 6 cm. What is its length?
(a) 6 cm
(b) 5cm
(c) 8cm
(d) 4cm
Answer : (c) 8cmShow Answer :
Question :The perimeter of a parallelogram is 180 cm. If one side exceeds the other by 10 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) 40 cm, 50 cmShow Answer :
Question :A _______ is both ‘equiangular’ and ‘equilateral’.
(a) regular polygon
(b) triangle
(c) quadrilateral
(d) none of these
Answer : (a) regular polygonShow Answer :
Question :Which of the following quadrilaterals has two pairs of adjacent sides equal and diagonals intersecting at right angles?
(a) square
(b) rhombus
(c) kite
(d) rectangle
Answer : (b) rhombusShow Answer :
Question :Which one of the following is a regular quadrilateral?
(a) Square
(b) Trapezium
(c) Kite
(d) Rectangle
Answer : (a) SquareShow Answer :
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) A rectangleShow Answer :
Question :The sides of a pentagon are produced in order. Which of the following is the sum of its exterior angles?
(a) 540°
(b) 180°
(c) 720°
(d) 360°
Answer : (d) 360°Show Answer :
Question :In a square ABCD, the diagonals bisect at O. 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) An isosceles right angled triangle.Show Answer :
Question :Which of the parallelograms has all sides equal and diagonals bisect each other at right angle?
(a) square
(b) rectangle
(c) rhombus
(d) trapezium.
Answer : (c) rhombusShow Answer :
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) 50°Show Answer :
Question :The ________ of a rhombus are perpendicular bisectors of one another.
(a) angles
(b) sides
(c) diagonals
(d) none of these
Answer : (c) diagonalsShow Answer :
Question :ABCD is a parallelogram. The angle bisectors of ∠A and ∠D meet at O. What is the measure of ∠AOD?
(a) 45°
(b) 90°
(c) 75°
(d) 180°
Answer : (b) 90°Show Answer :
Question :he sum of the measures of the three angles of a triangle is ______.
(a) 360°
(b) 210°
(c) 180°
(d) none of these
Answer : (c) 180°Show Answer :
Question :How many diagonals does a rectangle have?
(a) 2
(b) 1
(c) 0
(d) none of these
Answer : (a) 2Show Answer :
Question :Which of the following quadilaterals has two pairs of adjacent sides equal and diagonals intersecting at right angles?
(a) square
(b) rhombus
(c) kite
(d) rectangle
Answer : (c) kiteShow Answer :
Question : Which of the following is not a quadrilateral?
(a) Square
(b) Rectangle
(c) Triangle
(d) Parallelogram
Answer :CShow Answer :
Explanation: A quadrilateral is a four-sided polygon but triangle is a three-sided polygon.
Question : Which of the following quadrilaterals has two pairs of adjacent sides equal and its diagonals intersect at 90 degrees?
(a) Square
(b) Kite
(c) Rhombus
(d) Rectangle
Answer :BShow Answer :
Question : Which one of the following is a regular quadrilateral?
(a) Square
(b) Trapezium
(c) Kite
(d) Rectangle
Answer :AShow Answer :
Explanation: A square has all its sides equal and angles equal to 90 degrees.
Question : If AB and CD are two parallel sides of a parallelogram, then:
(a) AB>CD
(b) AB<CD
(c) AB=CD
(d) None of the above
Answer :CShow Answer :
Question : The perimeter of a parallelogram whose parallel sides have lengths equal to 12 cm and 7 cm is:
(a) 21 cm
(b) 42 cm
(c) 19 cm
(d) 38 cm
Answer 😀Show Answer :
Explanation: Perimeter of parallelogram = 2 (Sum of Parallel sides)
P = 2 (12 + 7)
P = 2 (19)
P = 38 cm
Question : If ∠A and ∠C are two opposite angles of a parallelogram, then:
(a) ∠A > ∠C
(b) ∠A = ∠C
(c) ∠A < ∠C
(d) None of the above
Answer :BShow Answer :
Explanation: Opposite angles of a parallelogram are always equal.
Question : If ∠A and ∠B are two adjacent angles of a parallelogram. If ∠A = 70°, then ∠B = ?
(a) 70°
(b) 90°
(c) 110°
(d) 180°
Answer :CShow Answer :
Explanation: The adjacent angles of parallelogram are supplementary.
∠A + ∠B = 180°
70° + ∠B = 180°
∠B = 180 – 70° = 110°
Question : ABCD is a rectangle and AC & BD are its diagonals. If AC = 10 cm, then BD is:
(a) 10 cm
(b) 5 cm
(c) 15 cm
(d) 20 cm
Answer :AShow Answer :
Explanation: The diagonals of a rectangle are always equal.
Question : Each of the angles of a square is:
(a) Acute angle
(b) Right angle
(c) Obtuse angle
(d) 180 degrees
Answer :BShow Answer :
Explanation: All the angles of square is at right angle.
Question : The quadrilateral whose diagonals are perpendicular to each other is:
(a) Parallelogram
(b) Rectangle
(c) Trapezium
(d) Rhombus
Answer 😀Show Answer :
Question : Which of the following is not a regular polygon?
(a) Square
(b) Equilateral triangle
(c) Rectangle
(d) Regular hexagon
Answer : C. RectangleShow Answer :
Explanation: A regular polygon is both equiangular and equilateral. But all four sides of a rectangle are not equal, thus it is not a regular polygon.
Question : If the two angles of a triangle are 80° and 50°, respectively. Find the measure of the third angle.
(a) 50°
(b) 60°
(c) 70°
(d) 80°
Answer : A. 50°Show Answer :
Explanation: By the angle sum property of triangle, we know that;
Sum of all the angles of a triangle = 180°
Let the unknown angle be x
80° + 50° + x = 180°
x = 180° – 130°
x = 50°
Question : In a parallelogram ABCD, angle A and angle B are in the ratio 1:2. Find the angle A.
(a) 30°
(b) 45°
(c) 60°
(d) 90°
Answer : C.60°Show Answer :
Explanation: As we know, the sum of adjacent angles of a parallelogram is equal to 180° and opposite angles are equal to each other.
Thus, in parallelogram ABCD angle A and angle B are adjacent to each other
Let angle A = x and angle B = 2x.
So, x + 2x = 180°
3x = 180°
x = 60°
Question : The angles of a quadrilateral are in ratio 1:2:3:4. Which angle has the largest measure?
(a) 120°
(b) 144°
(c) 98°
(d) 36°
Answer : B.144°Show Answer :
Explanation: Suppose, ABCD is a quadrilateral.
Let angle A is x
Then,
x + 2x + 3x + 4x = 360° [Angle sum property of quadrilateral]
10x = 360°
x = 36°
Hence, the greatest angle is 4x = 4 x 36 = 144°
Question : The length and breadth of a rectangle is 4 cm and 2 cm respectively. Find the perimeter of the rectangle.
(a) 12 cm
(b) 6 cm
(c) 8 cm
(d) 16 cm
Answer : A. 12 cmShow Answer :
Explanation: Given, length of rectangle is 4 cm
Breadth of rectangle = 2cm
By the formula of perimeter of rectangle, we know that;
Perimeter = 2 (Length + Breadth)
P = 2(4+2)
P = 2 x 6
P = 12 cm
Question : The diagonals of a rectangle are 2x + 1 and 3x – 1, respectively. Find the value of x.
(a) 1
(b) 2
(c) 3
(d) 4
Answer : B.2Show Answer :
Explanation: The diagonals of a rectangle are equal in length.
2x + 1 = 3x -1
1 + 1 = 3x – 2x
2 = x
Thus, the value of x is 2.
Question : The diagonals of a kite:
(a) Bisects each other
(b) Are perpendicular to each other
(c) Does not bisect each other
(d) None of the above
Answer : B. Are perpendicular to each otherShow Answer :
Explanation: The diagonals of a kite are perpendicular to each other. They intersect at 90 degrees but does not bisect.
Question : A rhombus has a side length equal to 5 cm. Find its perimeter.
(a) 25
(b) 10
(c) 20
(d) 30
Answer : C. 20Show Answer :
Explanation: A rhombus is a parallelogram that has all its four sides equal. Thus, the perimeter of rhombus,
P = 4 x side-length
P = 4 x 5
P = 20 cm
Question : ABCD is a parallelogram. If angle A is equal to 45°, then find the measure of its adjacent angle.
(a) 135°
(b) 120°
(c) 115°
(d) 180°
Answer : A.135°Show Answer :
Explanation: The adjacent angles of a parallelogram sums up to 180°.
Thus,
45° + x = 180°
x = 180° – 45°
x = 135°
Question : The kite has exactly two distinct consecutive pairs of sides of equal length.
(a) True
(b) False
Answer : A. TrueShow Answer :
Explanation: A kite is a quadrilateral that has exactly two distinct consecutive pairs of sides of equal length.
