Symmetry Test

Result

Symmetry Test - 4

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Weekly Quiz Competition

Question 1
1 / -0

In a figure, the angle of rotational symmetry is 71°. What will be the order of rotational symmetry for the figure?

A
More than 1

B
More than 2

C
More than 3

D
Not possible

Solution

If the angle or rotational is 71°, then symmetry of order is not possible because 360° is not completely divided by 71°.
Question 2
1 / -0

How many of the following letters have rotational symmetry of order more than 1?

B, G, N P, Q, R, S, Z

A
2

B
3

C
6

D
8

Solution

An object is said to possess rotational symmetry if, while rotating it through 360 degrees, we obtain the same object at least once in the process.
The number of times in which the object obtains its initial position is called its order of rotational symmetry.

Among the given letters, only N, S and Z have rotational symmetry and their orders are as:

N - 2 (order of rotational symmetry)
S - 2 (order of rotational symmetry)
Z - 2 (order of rotational symmetry)
Question 3
1 / -0

State true (T) or false (F) for the following statements and mark the correct option using the table given below.

P) The line of symmetry of an isosceles triangles is its base.
Q) A parallelogram has two lines of symmetry.
R) The letter 'S' has no line of symmetry.

P Q R

A F T F

B F T T

C F F T

D T T F

A
A

B
B

C
C

D
D

Solution

1) The line of symmetry of an isosceles triangles is its median or altitude; hence a false statement.
2) A parallelogram has no lines of symmetry; hence a false statement.
3) 'S' is not symmetrical, so it has zero lines of symmetry; hence a true statement.

Question 4

1 / -0

Choose the option that respectively represents P, Q, R and S in the following table:

Shape	Centre of Rotation	Order of Rotation	Angle of Rotation
Rhombus		P
Regular hexagon			Q
Circle	R		S

3, 180°, Intersecting point of diagonals, 90°

2, 60°, Centre, At every point

1, 270°, Intersecting point of diagonals, 90°

4, 90°, Centre, At every point

Solution

The complete table is as follows:

Shape	Centre of Rotation	Order of Rotation	Angle of Rotation
Rhombus	Intersecting point of diagonals	2	180°
Regular hexagon	Intersecting point of diagonals	6	60°
Circle	Centre	Infinite	At every point