Which of the following letters has no line of symmetry?
- AO
- BX
- CI
- ✓Q
Answer: D.
View full solution →Question types
Symmetry. question types
98 questions across 9 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
98
Questions
9
Question groups
5
Question types
01
M.C.Q. [1 Marks Each]
38 Q→02Assertion (A) & Reason (B) MCQ
3 Q→03TRUE-FLASE [1 Marks Each]
1 Q→04BLANKS [1 Marks Each]
16 Q→051 Marks Question
11 Q→062 Marks Questions
12 Q→073 Marks Question
9 Q→085 Marks Questions
7 Q→09Match the following.
1 Q→Sample Questions
Symmetry. questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Which of the following letters has no line of symmetry?
- ✓P
- BO
- CH
- DX
Answer: A.
View full solution →Which of the following letters has vertical line of symmetry?
- AJ
- ✓D
- CE
- DO
Answer: B.
View full solution →Which of the following letters has vertical line of symmetry?
- AN
- BK
- CB
- ✓M
Answer: D.
View full solution →Which of the following letters has vertical line of symmetry?
- AR
- BC
- CB
- ✓T
Answer: D.
View full solution →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:
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:
- AAssertion and Reason both are correct and Reason is the correct explanation of the Assertion.
- BAssertion and Reason both are correct but Reason is not the correct explanation of the Assertion.
- CAssertion is correct but Reason is not correct.
- DAssertion is not correct but Reason is correct.
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.
Reason (R) : A line of symmetry is a line that divides the object in two identical parts.
- ABoth Assertion (A) and Reason (R) are the true and Reason (R) is a correct explanation of Assertion (A).
- BBoth Assertion (A) and Reason (R) are the true, but Reason (R) is not a correct explanation of Assertion (A).
- CAssertion (A) is true and Reason (R) is false.
- DAssertion (A) is false and Reason (R) is true.
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]
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]
- ABoth Assertion (A) and Reason (R) are the true and Reason (R) is a correct explanation of Assertion (A).
- BBoth Assertion (A) and Reason (R) are the true, but Reason (R) is not a correct explanation of Assertion (A).
- CAssertion (A) is true and Reason (R) is false.
- DAssertion (A) is false and Reason (R) is true.
A semi-circle has two lines of symmetry.
Rotating a fighre through $90^{\circ} $ clockwise is the same as rotating it through _______________ $\left(270^{\circ} / 180^{\circ}\right)$ anti-clockwise.
View full solution →In a Kaleidoscope there are _______________ [two/four] mirrors.
The object and its image are _______________ [symmetrical/not-symmetrical] with reference to the mirror-line.
Line of symmetry is also called as the _______________ [axis of symmetry/origin of symmetry].
A plane figure through which no axis of symmetry can be drawn is said to be _______________
What does the meaning of lateral difference in mirror reflection?
In a figure, $60^{\circ}$ is the smallest angle of symmetry. What are the other angles of symmetry of this figure?
View full solution →Draw two figures other than a circle and a square that have both reflection symmetry and rotational symmetry.
Copy the following on a dot grid. For each figure draw two more lines to make a shape that has a line of symmetry.
Copy the following drawing on squared paper. Complete each one of them so that the resulting fiure has the two blue lines as lines of symmetry.
Copy the following on squared paper. Complete them so that the blue line is a line of symmetry. Problem (a) has been done for you.
How many lines of symmetry and angles of symmetry does Ashoka Chakra have?
How many lines of symmetry do the shapes in the first shape sequence in Chapter 1, Table 3, the Koch Snowflake sequence, have? What angle of symmetry?
Can we have a figure with rotational symmetry whose smallest angle of symmetry is
(a) $45^{\circ}$?
(b) $17^{\circ}$?
View full solution →(a) $45^{\circ}$?
(b) $17^{\circ}$?
Color the sectors of the circle below so that the figure has
(a) 3 angles of sjjmmetry
(b) 4 angles of symmetry
(c) what are the possible numbers of angles of symmetry you can obtain by coloring the sectors in different ways?
(a) 3 angles of sjjmmetry
(b) 4 angles of symmetry
(c) what are the possible numbers of angles of symmetry you can obtain by coloring the sectors in different ways?
Find the angle of symmetry for the given figures about the point marked.
This is a picture of the new Parliament Building in Delhi.
(a) Does the outer boundary of the picture have reflection symmetry? If so, draw the lines of symmetries. How many are they?
(b) Does it have rotational symmetry around its centre?
If so, find the angles of rotational symmetry.
(a) Does the outer boundary of the picture have reflection symmetry? If so, draw the lines of symmetries. How many are they?
(b) Does it have rotational symmetry around its centre?
If so, find the angles of rotational symmetry.
Draw wherever possible, a rough sketch of
(a) a triangle with atleast two lines of symmetry and atleast two angles of symmetry.
(b) a triangle with only one line of symmetry but not having rotational symmetry.
(c) a quadrilateral with rotational symmetry but no reflection symmetry.
(d) a quadrilateral with reflection symmetry but not having rotational symmetry.
(a) a triangle with atleast two lines of symmetry and atleast two angles of symmetry.
(b) a triangle with only one line of symmetry but not having rotational symmetry.
(c) a quadrilateral with rotational symmetry but no reflection symmetry.
(d) a quadrilateral with reflection symmetry but not having rotational symmetry.
Give the order of rotational symmetry for each figure:
Which of the following figures have more than one angle of symmetry?
Trace each figure and draw the lines of symmetry, if any:
| 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 |
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