Mathematics - Symmetry
Exam Duration: 45 Mins Total Questions : 30
Which of the following alphabets has many lines of symmetry?
- (a)
I
- (b)
O
- (c)
P
- (d)
F
What is the mirror image of in a horizontal mirror?
- (a)
- (b)
- (c)
- (d)
What is the order of rotational symmetry for the given figure?
- (a)
3
- (b)
4
- (c)
6
- (d)
12
Which of the following figures has only one line of symmetry?
- (a)
- (b)
- (c)
- (d)
Identify the number of lines of symmetry for the figure given.
- (a)
2
- (b)
4
- (c)
1
- (d)
3
What is the other name for a line of symmetry of a circle?
- (a)
An arc
- (b)
A sector
- (c)
A diameter
- (d)
A radius
In ΔXYY, XY = XZ and XM 丄 YZ and ZP 丄 XY About which of the following is the triangle symmetrical?
- (a)
XM
- (b)
YN
- (c)
ZP
- (d)
XZ
Which of these quadrilaterals have both line and rotational symmetries of order more than 3?
- (a)
A triangle
- (b)
A square
- (c)
A kite
- (d)
A rectangle
A square has a rotational symmetry of order 4 about its centre. What is the angle of rotation?
- (a)
45°
- (b)
900
- (c)
180°
- (d)
270°
Find the number of lines of symmetry of each of the figures given.
- (a)
2
- (b)
0
- (c)
1
- (d)
Infinitely many
Find the number of lines of symmetry of each of the figures given.
- (a)
0
- (b)
1
- (c)
2
- (d)
3
Which of the given figures has an order 4 rotational symmetry?
- (a)
- (b)
- (c)
- (d)
Find the order of rotational symmetry of the given figure.
- (a)
0
- (b)
2
- (c)
4
- (d)
8
Identify the figure with 5 lines of symmetry.
- (a)
- (b)
- (c)
- (d)
What is the order of rotational symmetry of the figure given?
- (a)
3
- (b)
1
- (c)
5
- (d)
Infinitely many
Which figure completes the figure given about the line l, the line of symmetry.
- (a)
- (b)
- (c)
- (d)
What is the order of rotational symmetry of given figure?
- (a)
3
- (b)
6
- (c)
0
- (d)
Many
Which of the following figures has both linear symmetry and rotational symmetry?
- (a)
An isosceles triangle
- (b)
A scalene triangle
- (c)
A parallelogram
- (d)
A square
p = No. of lines of symmetry of a square, q = No. of lines of symmetry of a rectangle. Which of the following is true?
- (a)
p<q
- (b)
p=q
- (c)
q>p
- (d)
p>q
Which of these letters of the English alphabet has both multiple line and rotational symmetries?
- (a)
O
- (b)
S
- (c)
H
- (d)
L
Which of the following is matched incorrectly?
- (a)
Figure Lines of symmetry Order of rotational symmetry (1) An isosceles triangle 1 0 - (b)
Figure Lines of symmetry Order of rotational symmetry (1) A rhombus 2 2 - (c)
Figure Lines of symmetry Order of rotational symmetry (1) A parallelogram 2 0 - (d)
Figure Lines of symmetry Order of rotational symmetry (1) A circle Infinitely many Infinitely many
A square has_________ lines of symmetry.
- (a)
One
- (b)
Two
- (c)
Three
- (d)
Four
A quadrilateral which has both line and rotational symmetry of order more than 2 is _________________
- (a)
Rectangle
- (b)
Rhombus
- (c)
Square
- (d)
Parallelogram
Which of the following letters has reflectional symmetry about both horizontal and vertical mirrors?
- (a)
A
- (b)
C
- (c)
U
- (d)
H
What is the order of rotational symmetry of the given figure?
- (a)
6
- (b)
4
- (c)
8
- (d)
None of these
Which of the following does not have a line of symmetry?
- (a)
- (b)
- (c)
- (d)
A windmill has four blades and rotational symmetry of the order 2 x K. Find K.
- (a)
1
- (b)
2
- (c)
3
- (d)
4
How many of the following letters have rotational symmetry of order more than 1? R,B,F,H,O,P,S,W,X,Z,N
- (a)
4
- (b)
9
- (c)
5
- (d)
8
Fill in the blanks.
Rotation turns an object about P point. The fixed point is the centre of Q. The angle by which the object rotates is the R
- (a)
P Q R fixed rotation angle of rotation - (b)
P Q R variable rotation central angle - (c)
P Q R fixed angle of rotation rotation - (d)
P Q R variable rotation angle of rotation
State 'T' for true and 'F' for false.
(i) Number 0 has both rotational and line of symmetry.
(ii) A regular polygon of n sides has 2n lines of symmetry.
(iii) A square has four lines of symmetry and rotational symmetry of order 2.
(iv) A circle has finite number of lines of symmetry.
- (a)
(i) (ii) (iii) (iv) T F F F - (b)
(i) (ii) (iii) (iv) T F T F - (c)
(i) (ii) (iii) (iv) F T F T - (d)
(i) (ii) (iii) (iv) F T T T