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NCERT Class 8 Mathematics MCQ
Practical Geometry
with Answers
Question : To construct a square, we need to know:
(a) All the interior angles
(b) All the side lengths
(c) Only one interior angle
(d) Only one side length
Show Answer :
Answer : (d)
Explanation: A square has all its sides equal and all the interior angles measure 90 degrees. Hence, if the length of one side is known, then we can construct a square easily.
Question : To construct a parallelogram we need to know:
(a) Length of its parallel sides
(b) Measure of interior angles
(c) Two adjacent sides and one angle
(d) Two adjacent sides and two angles
Show Answer :
Answer : (c)
Explanation: Parallelogram has its parallel sides equal. Also, if one angle is known to us, then we can determine the other angle since the two angles are supplementary.
Question : To construct a rectangle, we need to know:
(a) All the interior angles
(b) All the Sides
(c) Only Length and breadth
(d) Only one angle measure
Show Answer :
Answer : (c)
Explanation: A rectangle has its parallel sides equal and all the interior angles measure 90 degrees. Hence, if the length and breadth rectangle is known, then we can construct it easily.
Question :If two diagonals are given, then we can construct a:
(a) Rhombus
(b) Rectangle
(c) Kite
(d) Parallelogram
Show Answer :
Answer : (a)
Explanation: The two diagonals of a rhombus bisect each other at 90 degrees.
Question : What is the appropriate condition to construct a quadrilateral?
(a) When four sides and one diagonal are given
(b) When three sides and one diagonal are given
(c) When two sides and one diagonal are given
(d) None of the above
Show Answer :
Answer : (a)
Question : If two diagonals and three sides are given, then:
(a) A quadrilateral cannot be constructed
(b) A quadrilateral can be constructed
(c) Insufficient information
(d) Any polygon can be constructed
Show Answer :
Answer : (b)
Question : To construct a quadrilateral, we need to know two adjacent side and _____ angles.
(a) One
(b) Two
(c) Three
(d) All four angles
Show Answer :
Answer : (c)
Question : To construct a quadrilateral, we need to know two diagonals and _____ sides.
(a) One
(b) Two
(c) Three
(d) All four sides
Show Answer :
Answer : (c)
Question : To construct a quadrilateral, we need to know three sides and _____ included angles.
(a) One
(b) Two
(c) Three
(d) All four angles
Show Answer :
Answer : (b)
Question : How many measurements are required to construct a quadrilateral, uniquely?
(a) Four
(b) Five
(c) Six
(d) Three
Show Answer :
Answer : (b)
Question : A simple closed curve made up of only ______________ is called a polygon .
(a)curves
(b) line segments
(c) lines
(d) closed curves
Show Answer :
Answer : (b)
Question : A polygon with minimum number of sides is
(a) Pentagon
(b) Square
(c) triangle
(d) angle
Show Answer :
Answer : (c)
Question : Polygons that have no portions of their diagonals in their exteriors are called
(a) Squares
(b) triangles
(c) convex
(d) concave
Show Answer :
Answer : (c)
Question : Polygons that have any portions of their diagonals in their exteriors are called
(a) Squares
(b) triangles
(c) convex
(d) concave
Show Answer :
Answer : (d)
Question : All the sides of a regular polygon are ______________.
(a) Parallel
(b) equal in length
(c) not parallel
(d) not equal
Show Answer :
Answer : (b)
Question : All the angles of a regular polygon are of ______________.
(a) 90°
(b) 60°
(c) equal measure
(d) equal length
Show Answer :
Answer : (c)
Question : Sum of all interior angles of a polygon with (n) sides is given by
(a) (n – 2 ) × 180°
(b) n – 2 × 180°
(c) (n + 2 ) × 180°
(d) n + 2 × 180°
Show Answer :
Answer : (a)
Question : Maximum number of right angles in a right angled triangle are
(a) 2
(b) 1
(c) 3
(d) 0
Show Answer :
Answer : (b)
Question : Sum of all interior angles of a parallelogram is
(a) 180°
(b) 360°
(c) 540°
(d) 240°
Show Answer :
Answer : (b)
Question : The angle sum of all interior angles of a convex polygon of sides 7 is
(a) 180°
(b) 540°
(c) 630°
(d) 900°
Show Answer :
Answer : (d)
Question : Each exterior angle of a regular hexagon is of measure
(a) 120°
(b) 80°
(c)100°
(d) 60°
Show Answer :
Answer : (d)
Question : The number of sides in a regular polygon is 15 , then measure of each exterior angle is
(a) 24°
(b) 36°
(c)20°
(d)18°
Show Answer :
Answer : (a)
Question : The measure of each interior angle of a regular polygon is 140o, then number of sides that regular polygon has ______________.
(a) 15
(b) 12
(c) 9
(d) 10
Show Answer :
Answer : (c)
Question : Which of the following polygons is convex polygon ?
Show Answer :
Answer : (c)
Question : Which of the following is concave polygon?
Show Answer :
Answer : (d)
Question : The value of (x) in the following figure is
(a) 120°
(b) 80°
(c) 100°
(d) 60°
Show Answer :
Answer : (d)
Question : A quadrilateral which has 2 pairs of equal adjacent sides but unequal opposite sides is called ______________.
(a) parallelogram
(b) rhombus
(c) kite
(d) square
Show Answer :
Answer : (c)
Question : The value of x in the following figure is
(a) 100°
(b) 90°
(c) 108°
(d) 120°
Show Answer :
Answer : (c)
Question : The value of x in the following figure is
(a) 120°
(b) 180°
(c) 60°
(d) 100°
Show Answer :
Answer : (a)
Question : A parallelogram each of whose angles measures 90o is ______________.
(a) rectangle
(b) rhombus
(c) kite
(d) trapezium
Show Answer :
Answer : (a)
Question : A parallelogram whose all sides are equal is called
(a) square
(b) rhombus
(c) rectangle
(d) trapezium
Show Answer :
Answer : (b)
Question : the diagonals of a rhombus bisect each other at ______________ angles.
(a) acute
(b) right
(c) obtuse
(d) reflex
Show Answer :
Answer : (b)
Question : Diagonals of a rectangle:
(a) equal to each other
(b) not equal
(c) one is double of the other
(d) none of these
Show Answer :
Answer : (a)
Question : The diagonals of a square bisect each other at ______________ angle.
(a) acute
(b) right
(c) obtuse
(d) reflex
Show Answer :
Answer : (b)
Question : the value of x in the following figure is:
(a) 60°
(b) 70°
(c) 180°
(d) 90°
Show Answer :
Answer : (b)
Question : Minimum possible interior angle in a regular polygon is ______________.
(a) 70°
(b) 60°
(c) 90°
(d) 120°
Show Answer :
Answer : (b)
Question : Maximum possible exterior angle in a regular polygon is ______________.
(a) 70°
(b) 60°
(c) 90°
(d) 120°
Show Answer :
Answer : (d)
Question : How many sides does a heptagon have ?
(a) 2
(b) 4
(c) 7
(d) 5
Show Answer :
Answer : (c)
Question : Name the closed figure with 4 sides ?
(a) Hexagon
(b) Triangle
(c) Pentagon
(d) Quadrilateral
Show Answer :
Answer : (d)
Question : How many diagonals does a regular Hexagon has ?
(a) 2
(b) 9
(c) 3
(d) 5
Show Answer :
Answer : (b)
Question : What is the number of sides in Hexagon ?
(a) 4
(b) 7
(c) 6
(d) 5
Show Answer :
Answer : (c)
Question : What is the sum of the measures of angles of a convex quadrilaterals?
(a) 180°
(b) 90°
(c) 360°
(d) 45°
Show Answer :
Answer : (c)
Question : If the three angles of a quadrilateral are 120o , 130o, 10o then what is the fourth angle ?
(a) 30°
(b) 100°
(c) 40°
(d) 90°
Show Answer :
Answer : (b)
Question : The opposite angles of a parallelogram are ______________ .
(a) Unequal
(b) equal
(c) complementary
(d) supplementary
Show Answer :
Answer : (b)
Question : The perimeter of parallelogram PQRS is:
(a) 12 cm
(b) 7 cm
(c) 38 cm
(d) 19 cm
Show Answer :
Answer : (c)
Question : The diagonals of a square are ______________ each other
(a) equal to
(b) unequal to
(c) perpendicular bisectors of
(d) none of these
Show Answer :
Answer : (c)
Question : A parallelogram with sides of equal length is called______________.
(a) trapezium
(b) square
(c) rectangle
(d) rhombus
Show Answer :
Answer : (d)
Question : How many measurements can determine a quadrilateral uniquely?
(a) 2
(b) 3
(c) 4
(d) 5
Show Answer :
Answer : (d)
Question : Diagonals of a parallelogram _______________ each other.
(a) bisect
(b)equal to
(c)perpendicular to
(d)none of these
Show Answer :
Answer : (a)
Question :How many sides does decagon has?
(a) 8
(b) 10
(c) 6
(d)
Show Answer :
Answer : (b)
Question : Polygons that have no portions of their diagonals in their exteriors are called
(a) triangles
(b) convex
(c) concave
(d) squares
Show Answer :
Answer :(d) convex
Question : How many measurements can determine a quadrilateral uniquely?
(a) 2
(b) 3
(c) 4
(d) 5
Show Answer :
Answer :(d) 5
Question : To construct a parallelogram we need to know:
(a) Length of its parallel sides
(b) Measure of interior angles
(c) Two adjacent sides and one angle
(d) Two adjacent sides and two angles
Show Answer :
Answer :(c) Two adjacent sides and one angle
Question : Which of the following is a regular quadrilateral?
(a) Rectangle
(b) Square
(c) Rhombus
(d) Trapezium
Show Answer :
Answer :(d) Square
Question : A polygon with minimum number of sides is
(a) Pentagon
(b) Square
(c) triangle
(d) angle
Show Answer :
Answer :(c) triangle
Question : A parallelogram must be a rectangle if its diagonals
(a) bisect the angles to which they are drawn
(b) are perpendicular to each other
(c) bisect each other
(d) are congruent
Show Answer :
Answer :(d) are congruent
Question : The opposite angles of a parallelogram are __
(a) Unequal
(b) equal
(c) complementary
(d) supplementary
Show Answer :
Answer :(d) equal
Question : To construct a rectangle, we need to know:
(a) All the interior angles
(b) All the Sides
(c) Only Length and breadth
(d) Only one angle measure
Show Answer :
Answer :(c) Only Length and breadth
Question : What will be the side of a rhombus whose diagonals are 16 cm and 12 cm long?
(a) 15 cm
(b) 18 cm
(c) 20 cm
(d) 10 cm
Show Answer :
Answer :(d) 10 cm
Question : What do we require to construct a square?
(a) Length of one side
(b) Lengths of three sides
(c) Lengths of two sides
(d) None of these
Show Answer :
Answer :(a) Length of one side
Question : A simple closed curve made up of only _ is called a polygon .
(a) lines
(b) curves
(c) closed curves
(d) line segments
Show Answer :
Answer :(d) line segments
Question : How many diagonals does a regular Hexagon has ?
(a) 2
(b) 9
(c) 3
(d) 5
Show Answer :
Answer :(d) 9
Question : If two diagonals are given, then we can construct a:
(a) Rhombus
(b) Rectangle
(c) Kite
(d) Parallelogram
Show Answer :
Answer :(a) Rhombus
Question : In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1 : 2 : 3 : 4. The measure of smallest angle is:
(a) 36°
(b) 54°
(c) 72°
(d) 18°
Show Answer :
Answer :(a) 36°
Question : To construct a quadrilateral uniquely, it is necessary to know at least_________ of its parts.
(a) 5
(b) 4
(c) 3
(d) 2
Show Answer :
Answer :(a) 5
Question : All the angles of a regular polygon are of __
(a) 90°
(b) 60°
(c) equal length
(d) equal measure
Show Answer :
Answer :(d) equal measure
Question : Minimum possible interior angle in a regular polygon is _
(a) 70°
(b) 60°
(c) 90°
(d) 120°
Show Answer :
Answer :(d) 60°
Question : If two diagonals and three sides are given, then:
(a) A quadrilateral cannot be constructed
(b) A quadrilateral can be constructed
(c) Insufficient information
(d) Any polygon can be constructed
Show Answer :
Answer :(d) A quadrilateral can be constructed
Question : A quadrilateral can be constructed uniquely if the lengths of its __ sides and a diagonal are given.
(a) 3
(b) 1
(c) 2
(d) 4
Show Answer :
Answer :(d) 4
Question : The quadrilateral whose diagonals are equal and bisect each other at right angle is __.
(a) Triangle
(b) Square
(c) Rhombus
(d) None of these
Show Answer :
Answer :(d) Square
Question : the diagonals of a rhombus bisect each other at __ angles.
(a) acute
(b) right
(c) obtuse
(d) reflex
Show Answer :
Answer :(d) right
Question : To construct a quadrilateral, we need to know two diagonals and _ sides.
(a) One
(b) Two
(c) Three
(d) All four sides
Show Answer :
Answer :(c) Three
Question : A parallelogram must be a rectangle if its diagonals
(a) bisect the angles to which they are drawn
(b) are perpendicular to each other
(c) bisect each other
(d) are congruent
Show Answer :
Answer :(d) are congruent
Question : A quadrilateral can be constructed uniquely if its _ sides and two included angles are given.
(a) 1
(b) 2
(c) 3
(d) none of these
Show Answer :
Answer :(c) 3
Question : The angle sum of all interior angles of a convex polygon of sides 7 is
(a) 180°
(b) 540°
(c) 630°
(d) 900°
Show Answer :
Answer :(d) 900°
Question : A simple closed curve made up of only __ is called a polygon .
(a)curves
(b) line segments
(c) lines
(d) closed curves
Show Answer :
Answer :(d) line segments
Question : Polygons that have no portions of their diagonals in their exteriors are called
(a) triangles
(b) convex
(c) concave
(d) squares
Show Answer :
Answer :(d) convex
Question : What do we require to construct a quadrilateral if measures of two adjacent angles are given?
(a) Lengths of three sides
(b) Length of one side
(c) Lengths of two sides
(d) None of these
Show Answer :
Answer :(a) Lengths of three sides
Question :Sum of all interior angles of a polygon with (n) sides is given by
(a) (n – 2) × 180°
(b) n – 2 × 180°
(c) (n + 2) × 180°
(d) (n + 2) × 180°
Show Answer :
Answer : (a) (n – 2) × 180°
Question :Polygons that have no portions of their diagonals in their exteriors are called
(a) triangles
(b) convex
(c) concave
(d) squares
Show Answer :
Answer : (b) convex
Question :What is the number of sides in Hexagon ?
(a) 4
(b) 7
(c) 6
(d) 5
Show Answer :
Answer : (c) 6
Question :A parallelogram must be a rectangle if its diagonals
(a) bisect the angles to which they are drawn
(b) are perpendicular to each other
(c) bisect each other
(d) are congruent
Show Answer :
Answer : (d) are congruent
Question :Diagonals of a rectangle:
(a) equal to each other
(b) not equal
(c) one is double of the other
(d) none of these
Show Answer :
Answer : (a) equal to each other
Question :A simple closed curve made up of only _____________ is called a polygon .
(a) lines
(b) curves
(c) closed curves
(d) line segments
Show Answer :
Answer : (d) line segments
Question :To construct a quadrilateral uniquely, it is necessary to know at least_________ of its parts.
(a) 5
(b) 4
(c) 3
(d) 2
Show Answer :
Answer : (a) 5
Question :All the angles of a regular polygon are of ________________.
(a) 90°
(b) 60°
(c) equal length
(d) equal measure
Show Answer :
Answer : (d) equal measure
Question :The diagonals of a square bisect each other at _________ angle.
(a) acute
(b) right
(c) obtuse
(d) reflex
Show Answer :
Answer : (b) right
Question :The quadrilateral whose diagonals are equal and bisect each other at right angle is ________.
(a) Triangle
(b) Square
(c) Rhombus
(d) None of these
Show Answer :
Answer : (b) Square
Question :A parallelogram whose all sides are equal is called ________.
(a) triangle
(b) trapezium
(c) square
(d) rectangle
Show Answer :
Answer : (c) square
Question :A quadrilateral can be constructed uniquely if its _____ sides and two included angles are given.
(a) 1
(b) 2
(c) 3
(d) none of these
Show Answer :
Answer : (c) 3
Question :The ratio of two adjacent sides of a parallelogram is 4:5. If its perimeter is 72 cm, find its adjacent sides.
(a) 18 cm and 25 cm
(b) 16 cm and 25 cm
(c) 18 cm and 20 cm
(d) 16 cm and 20 cm
Show Answer :
Answer : (d) 16 cm and 20 cm
Question :What do we require to construct a quadrilateral if measures of three angles are given?
(a) Length of one side
(b) Two adjacent sides
(c) Length of one diagonal
(d) None of these
Show Answer :
Answer : (b) Two adjacent sides
Question :A parallelogram each of whose angles measures 90° is _____________.
(a) rectangle
(b) rhombus
(c) kite
(d) trapezium
Show Answer :
Answer : (a) rectangle
Question :The measure of each interior angle of a regular polygon is 140o, then number of sides that regular polygon has ___
(a) 15
(b) 12
(c) 9
(d) 10
Show Answer :
Answer : (c) 9
Question :A quadrilateral can be constructed uniquely if the lengths of its ______ sides and a diagonal are given.
(a) 3
(b) 1
(c) 2
(d) 4
Show Answer :
Answer : (d) 4
Question :A quadrilateral can be constructed uniquely if the lengths of its four sides and ____ diagonal are given.
(a) 3
(b) 2
(c) 1
(d) none of these
Show Answer :
Answer : (c) 1
Question :What do we require to construct a quadrilateral if measures of two adjacent angles are given?
(a) Lengths of three sides
(b) Length of one side
(c) Lengths of two sides
(d) None of these
Show Answer :
Answer : (a) Lengths of three sides
Question :What do we require to construct a square?
(a) Length of one side
(b) Lengths of three sides
(c) Lengths of two sides
(d) None of these
Show Answer :
Answer : (a) Length of one side
Question :A polygon with minimum number of sides is
(a) Pentagon
(b) Square
(c) triangle
(d) angle
Show Answer :
Answer : (c) triangle
Question :What do we require to construct a quadrilateral if lengths of four sides are given?
(a) One of the angle
(b) Length of a diagonal
(c) Length of two diagonals
(d) None of these
Show Answer :
Answer : (b) Length of a diagonal
Question : What is the appropriate condition to construct a quadrilateral?
(a) When four sides and one diagonal are given
(b) When three sides and one diagonal are given
(c) When two sides and one diagonal are given
(d) None of the above
Show Answer :
Answer :A
Question : If two diagonals and three sides are given, then:
(a) A quadrilateral cannot be constructed
(b) A quadrilateral can be constructed
(c) Insufficient information
(d) Any polygon can be constructed
Show Answer :
Answer :B
Question : To construct a quadrilateral, we need to know two adjacent side and _____ angles.
(a) One
(b) Two
(c) Three
(d) All four angles
Show Answer :
Answer :C
Question : To construct a quadrilateral, we need to know two diagonals and _____ sides.
(a) One
(b) Two
(c) Three
(d) All four sides
Show Answer :
Answer :C
Question : To construct a quadrilateral, we need to know three sides and _____ included angles.
(a) One
(b) Two
(c) Three
(d) All four angles
Show Answer :
Answer :B
Question : To construct a square, we need to know:
(a) All the interior angles
(b) All the side lengths
(c) Only one interior angle
(d) Only one side length
Show Answer :
Answer 
Explanation: A square has all its sides equal and all the interior angles measure 90 degrees. Hence, if the length of one side is known, then we can construct a square easily.
Question : To construct a rectangle, we need to know:
(a) All the interior angles
(b) All the Sides
(c) Only Length and breadth
(d) Only one angle measure
Show Answer :
Answer :C
Explanation: A rectangle has its parallel sides equal and all the interior angles measure 90 degrees. Hence, if the length and breadth rectangle is known, then we can construct it easily.
Question : If two diagonals are given, then we can construct a:
(a) Rhombus
(b) Rectangle
(c) Kite
(d) Parallelogram
Show Answer :
Answer :A
Explanation: The two diagonals of a rhombus bisect each other at 90 degrees.
Question : How many measurements are required to construct a quadrilateral, uniquely?
(a) Four
(b) Five
(c) Six
(d) Three
Show Answer :
Answer :B
Question : To construct a parallelogram we need to know:
(a) Length of its parallel sides
(b) Measure of interior angles
(c) Two adjacent sides and one angle
(d) Two adjacent sides and two angles
Show Answer :
Answer :C
Explanation: Parallelogram has its parallel sides equal. Also, if one angle is known to us, then we can determine the other angle since the two angles are supplementary.
Question : A polygon that has a minimum number of sides is:
(a) Triangle
(b) Square
(c) Rectangle
(d) Angle
Show Answer :
Answer : A.
Explanation: A triangle is a polygon that has three sides.
Note: Angle is not a polygon, because it is not a closed shape. The arms of an angle extend indefinitely.
Question : If n is the number of sides, then the number of diagonals of a polygon is:
(a) n/2
(b) n/3
(c) n(n-3)/2
(d) n(n-3)/3
Show Answer :
Answer : C. n(n-3)/2
Explanation: For a quadrilateral, n = 4
n(n-3)/2 = 4(4-3)/2 = 4/2 = 2
Thus, a quadrilateral has two diagonals.
Question : The sum of all the interior angles of a hexagon is:
(a) 720°
(b) 540°
(c) 360°
(d) 180°
Show Answer :
Answer : A. 720°
Explanation: Number of sides in hexagon, n = 6
Sum of interior angles = (n-2) x 180°
= (6 – 2) x 180°
= 720°
Question : If the sum of interior angles of a regular polygon is 540°. Find the name of the polygon.
(a) Quadrilateral
(b) Pentagon
(c) Hexagon
(d) Septagon
Show Answer :
Answer : B. Pentagon
Explanation: By the angle sum of interior angles of a polygon, if n is the number of sides, then;
Sum of interior angles = (n-2) x 180°
540° = (n – 2) x 180°
n – 2 = 540°/180° = 3
n = 3 + 2 = 5
Thus, the polygon is a pentagon.
Question : ______ measurements can determine a quadrilateral uniquely.
(a) Three
(b) Four
(c) Five
(d) Six
Show Answer :
Answer : C. Five
Question : The sum of exterior angles of a polygon is equal to:
(a) 180°
(b) 360°
(c) 540°
(d) 720°
Show Answer :
Answer : B. 360°
Explanation: The sum of exterior angles of any polygon is always equal to 360°.
Question : All the sides of a regular polygon are:
(a) Equal in length
(b) Unequal in length
(c) Parallel to each other
(d) None of these
Show Answer :
Answer : A. Equal in length
Explanation: A regular polygon has all its sides equal in length and all its angles equal in measure.
Question : If a polygon has 8 sides, then the number of diagonals it has is:
(a) 8
(b) 16
(c) 20
(d) 24
Show Answer :
Answer : C. 20
Explanation: The formula to find the number of diagonals is:
D = n (n – 3)/2, where n is the number of sides
D = 8 ( 8 – 3)/2
D = 8 (5)/2
D = 20
Question : Can we draw a square with a side length equal to 7cm?
(a) Yes
(b) No
(c) Cannot be determined
(d) None of the above
Show Answer :
Answer : A. Yes
Explanation: A square has all its sides equal in length and all the angles are equal to 90 degrees. Therefore, we can take any five measurements to construct a square.
Question : If a quadrilateral constructed has two distinct consecutive sides equal in length, then it is a:
(a) Rhombus
(b) Kite
(c) Parallelogram
(d) Rectangle
Show Answer :
Answer : B. Kite
