MCQ on Symmetry Class 6
Class 6 Maths Chapter 9 MCQ Symmetry
Multiple Choice Questions
Question 1.
An equilateral triangle has:
(a) 3 lines of symmetry
(b) 2 lines of symmetry
(c) 1 line of symmetry
(d) no lines of symmetry
Answer:
(a) 3 lines of symmetry
Question 2.
A rectangle has an angle of symmetry:
(a) 60°
(b) 90°
(c) 180°
(d) 270°
Answer:
(c) 180°
Question 3.
Which of the following figures has the order of rotational symmetry 4?
Answer:
Question 4.
Number of lines of symmetry in a rhombus is:
(a) 0
(b) 1
(c) 2
(d) 4
Answer:
(c) 2
Question 5.
In a regular polygon of n sides, the number of lines of symmetry is:
(a) 0
(b) 1
(c) n
(d) an infinite number
Answer:
(c) n
Question 6.
Which one of the following polygons has only one line of symmetry?
(a) Isosceles triangle
(b) Square
(c) Rectangle
(d) Equilateral triangle
Answer:
(a) Isosceles triangle
Question 7.
Which one of the following figures has infinitely many lines of symmetry?
(a) Pentagon
(b) Hexagon
(c) Circle
(d) Line Segment
Answer:
(c) Circle
Question 8.
Which one of the following triangles has both rotational and line symmetry?
(a) Isosceles triangle
(b) Equilateral triangle
(c) Scalene triangle
(d) Right-angled triangle
Answer:
(b) Equilateral triangle
Question 9.
Identify the letter of English alphabets which has vertical line of symmetry?
(a) M
(b) B
(c) E
(d) K
Answer:
(a) M
Question 10.
Identify the letter of English alphabets which has horizontal line of symmetry?
(a) A
(b) V
(c) W
(d) X
Answer:
(d) X
Question 11.
Which of the following letters of English alphabets has no rotational symmetry?
(a) O
(b) N
(c) Z
(d) K
Answer:
(d) K
Question 12.
Which of the following quadrilaterals has only rotational symmetry?
(a) Rectangle
(b) Square
(c) Rhombus
(d) Parallelogram
Answer:
(d) Parallelogram
Question 13.
Assertion: The given figure has rotational symmetry of order 2.
Reason: A figure that has an angle of symmetry 180 degrees is said to have rotational symmetry of order 2.
In the given question, a statement of Assertion is followed by a statement of Reason. Choose the correct option as:
(a) Assertion and Reason both are correct and Reason is the correct explanation of the Assertion.
(b) Assertion and Reason both are correct but Reason is not the correct explanation of the Assertion.
(c) Assertion is correct but Reason is not correct.
(d) Assertion is not correct but Reason is correct.
Answer:
(a) Assertion and Reason both are correct and Reason is the correct explanation of the Assertion.
Question 14.
How many line of symmetry does the letter Q has?
(a) zero
(b) infinite
(c) 1
(d) 2
Answer:
Option (a) is correct.
Explanation:
No line of symmetry (not symmetrical)
Question 15.
How many lines of symmetry does a rectangle have ?
(a) 1
(b) 2
(c) 3
(d) 4
Answer:
Option (b) is correct.
Explanation:
Lines of symmetry in rectangle
Question 16.
The number of lines of symmetry of letter H is:
(a) 0
(b) 1
(c) 2
(d) 4
Answer:
Option (c) is correct.
Explanation:
The number of lines of symmetry for letter H is 2. One horizontal and one vertical.
Question 17.
A semi-circle has two lines of symmetry. (True/False)
Answer:
False
Question 18.
How many lines of symmetry’ are in circle?
(a) Zero
(b) Two
(c) Six
(d) Infinite (Easy)
Answer:
Option (d) is correct.
Explanation:
There can be many lines of symmetry’ passing through its centre called diameter.
Question 19.
How many lines of symmetry does the following.
(a) 3
(b) 2
(c) 1
(d) 0
Answer:
Option (d) is correct.
Explanation:
Scalene triangle has no line of symmetry.
Question 20.
The angle of rotation of an equilateral triangle is:
(a) 120°
(b) 270°
(c) 180°
(d) 360°
Answer:
Option (a) is correct.
Explanation:
The angle of rotation of an equilateral triangle is 120°.
Question 21.
The number of lines of symmetry that a quadrilateral cannot have is
(a) 1
(b) 2
(c) 3
(d) 4
Answer:
Option (c) is correct
Explanation:
Number of lines of symmetry in quadrilateral cannot be three.
Question 22.
The letter which has both line and rotational symmetry is:
(a) H
(b) M
(c) S
(d) Y
Answer:
Option (a) is correct.
Explanation:
The letter which has both lines and rotational symmetry is H.
Question 23.
Assertion (A): There are infinite lines of symmetry in a circle.
Reason (R): The diameter is the mirror line of sym-metry of a circle and there are infinite diameters possible for a given circle. [Medium]
(a) Both Assertion (A) and Reason (R) are the true and Reason (R) is a correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are the true, but Reason (R) is not a correct explanation of Assertion (A).
(c) Assertion (A) is true and Reason (R) is false.
(d) Assertion (A) is false and Reason (R) is true.
Answer:
Option (a) is correct.
Explanation:
There are infinite lines of symmetry of a circle because the lines of symmetry of a circle can be drawn from any angles and the diameter in a circle is the mirror line of symmetry of a circle and there are infinite diameters possible for a given circle.
Question 24.
Assertion (A): A square has six lines of symmetry.
Reason (R) : A line of symmetry is a line that divides the object in two identical parts.
(a) Both Assertion (A) and Reason (R) are the true and Reason (R) is a correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are the true, but Reason (R) is not a correct explanation of Assertion (A).
(c) Assertion (A) is true and Reason (R) is false.
(d) Assertion (A) is false and Reason (R) is true.
Answer:
Option (d) is correct.
Explanation:
A square has 4 lines of symmetry, not 6 lines of symmetry. And symmetry is a line which divides it into two equal parts.
Fill in the blanks:
(i) A line of ____________ divides a figure into two equal parts.
Answer:
symmetry
(ii) An isosceles triangle has ____________ line of symmetry.
Answer:
one
(iii) An equilateral triangle has ____________ lines of symmetry.
Answer:
three
(iv) A scalene triangle has ____________ line of symmetry.
Answer:
no
(v) A rectangle has ____________ order of rotational symmetry.
Answer:
two
(vi) A square has ____________ lines of symmetry.
Answer:
four
(vii) A regular hexagon has ____________ degrees the angle of symmetry.
Answer:
60°
(viii) A circle has ____________ lines of symmetry.
Answer:
an infinite number of
(ix) A rhombus has rotational symmetry of order ____________
Answer:
2
(x) A kite is symmetrical about its longer ____________
Answer:
diagonal
(xi) The line of symmetry of an object is also called its ____________ of symmetry.
Answer:
axis
(xii) A plane figure through which no axis of symmetry can be drawn is said to be ____________
Answer:
asymmetric
Match the following:
| Column A | Column B |
| (a) Number of lines of symmetry in a circle. | (i) Three |
| (b) Number of lines of symmetry in an equilateral triangle. | (ii) Four |
| (c) Number of lines of symmetry in an isosceles triangle. | (iii) Unlimited |
| (d) Number of lines of symmetry in a square. | (iv) One |
Answer:
| Column A | Column B |
| (a) Number of lines of symmetry in a circle. | (iii) Unlimited |
| (b) Number of lines of symmetry in an equilateral triangle. | (i) Three |
| (c) Number of lines of symmetry in an isosceles triangle. | (iv) One |
| (d) Number of lines of symmetry in a square. | (ii) Four |
Complete the following statements by choosing correct word.
(i) Line of symmetry is also called as the ____________ [axis of symmetry/origin of symmetry].
Answer:
axis of symmetry
(ii) The object and its image are ____________ [symmetrical/not-symmetrical] with reference to the mirror-line.
Answer:
symmetrical
(iii) In a Kaleidoscope there are ____________ [two/four] mirrors.
Answer:
two
(iv) Rotating a fighre through 90° clockwise is the same as rotating it through ____________ (270°/180°) anti-clockwise.
Answer:
270°
Fun Activity
Question 1.
Complete the following crossword puzzle:
Directions:
Across:
(1) The line of symmetry can be real or ____________
(2) The object and its image are symmetrical with reference to the ____________ line.
(3) The symmetry with respect to mirror-line is called ____________ symmetry.
(4) In ____________ usually two mirrors forming a V-shape are used.
Down:
(5) The line of symmetry acts as the mirror. It is also called the ____________ of symmetry.
(6) The object and its image are ____________ with reference to the mirror-line.
Answer:
Across
(1) Imaginary
(2) Mirror
(3) Reflection
(4) Kaleidoscope
Down
(5) Axis
(6) Symmetrical
Answer the following.
Question 1.
How many lines of symmetry are there in the letter H?
Answer:
Two
Question 2.
How many letters of the English alphabet have both rotational and line symmetry? Write them.
Answer:
4; H, I, O, X
Question 3.
How many lines of symmetry can there be in an irregular shape?
Answer:
Zero
Question 4.
What is the order of rotational symmetry in a rectangle?
Answer:
Two
Question 5.
Find the order of rotational symmetry for each of the following polygons:
(i) Rhombus
(ii) Regular pentagon
(iii) Regular hexagon
(iv) Regular octagon
Answer:
(i) 2
(ii) 5
(iii) 6
(iv) 8
Question 6.
What name is given to a geometrical property which refers to the exact match in shape and size between two halves of an object?
Answer:
Symmetry
Question 7.
What does the meaning of lateral difference in mirror reflection?
Answer:
Lateral difference means the left part of the object seems to be right part of image and vice versa.
Question 8.
Complete the figure so that dotted lines are its line of symmetry.
Answer:
Question 9.
The figure has been created by punching a single hole after folding the paper twice. How has the paper been folded?
Answer:
It has been folded diagonally.
Question 10.
Given the line(s) of symmetry, find the other hole(s):
Answer:
Question 11.
Find the number of lines of symmetry and angles of rotational symmetry of the following figures.
Answer:
| Figure | Number of Lines Symmetry | Angles of Rotational Symmetry |
| (i) | 4 | 90°, 180°, 270° and 360° |
| (ii) | 3 | 120°, 240° and 360° |
————————————————————————————————————————————————————————————————————
Question 1.
How many lines of symmetry does the figure have?
(a) 1
(b) 2
(c) 3
(d) 4
Answer
Answer: (a)
Question 2.
How many lines of symmetry does the figure have?
(a) 1
(b) 2
(c) 3
(d) 4.
Answer
Answer: (b)
Question 3.
How many lines of symmetry does the figure have?
(a) 1
(b) 2
(c) 3
(d) 4
Answer
Answer: (d)
Question 4.
How many lines of symmetry does the figure have?
(a) 1
(b) 2
(c) 3
(d) 4
Answer
Answer: (c)
Question 5.
How many lines of symmetry does the figure have ?
(a) 1
(b) 2
(c) 3
(d) 4
Answer
Answer: (a)
Question 6.
How many lines of symmetry does the figure have ?
(a) 1
(b) 2
(c) 3
(d) no line of symmetry
Answer
Answer: (d)
Question 7.
How many lines of symmetry does the figure have?
(a) 1
(b) 2
(c) 3
(d) Countless.
Answer
Answer: (d)
Question 8.
How many lines of symmetry does the figure have?
(a) 0
(b) 1
(c) 2
(d) countless
Answer
Answer: (a)
Question 9.
How many lines of symmetry does the figure have?
(a) 1
(b) 2
(c) 3
(d) 4
Answer
Answer: (b)
Question 10.
How many lines of symmetry does a regular hexagon have?
(a) 1
(b) 3
(c) 4
(d) 6
Answer
Answer: (d)
Question 11.
Which of the following letters has horizontal line of symmetry?
(a) C
(b) A
(c) J
(d) L.
Answer
Answer: (a)
Question 12.
Which of the following letters has horizontal line of symmetry?
(a) Z
(b) V
(c) U
(d) E.
Answer
Answer: (d)
Question 13.
Which of the following letters has horizontal line of symmetry?
(a) S
(b) W
(c) D
(d) Y.
Answer
Answer: (c)
Question 14.
Which of the following letters has vertical line of symmetry?
(a) R
(b) C
(c) B
(d) T.
Answer
Answer: (d)
Question 15.
Which of the following letters has vertical line of symmetry?
(a) N
(b) K
(c) B
(d) M.
Answer
Answer: (d)
Question 16.
Which of the following letters has vertical line of symmetry?
(a) J
(b) D
(c) E
(d) O.
Answer
Answer: (d)
Question 17.
Which of the following letters has no line of symmetry?
(a) P
(b) O
(c) H
(d) X.
Answer
Answer: (a)
Question 18.
Which of the following letters has no line of symmetry?
(a) O
(b) X
(c) I
(d) Q
Answer
Answer: (d)