Symmetry Test

Result

Symmetry Test - 2

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following images has the maximum number of lines of symmetry?

A
(A)

B
(B)

C
(C)

D
(D)

Solution

A regular polygon has as many lines of symmetry as it has sides.
Image (A) has maximum number of sides i.e. 9. Hence, it has maximum number of lines of symmetry.
Question 2
1 / -0

What is the least number of squares that must be added, so that the figure has AB as the line of symmetry?

A
3

B
6

C
7

D
10

Solution

We should add 3 more squares.
Question 3
1 / -0

How many more squares need to be filled to make line AB as a line of symmetry?

A
2

B
3

C
4

D
5

Solution

As seen from the above diagram, the given figure requires need 2 more squares (highlighted in red) to make line AB as a line of symmetry.
Question 4
1 / -0

Which of the following is/are not line(s) of symmetry?

A
P and Q

B
R and P

C
Q and R

D
P only

Solution

If you can reflect (or flip) a figure over a line and the figure appears unchanged, then the figure has reflection symmetry or line symmetry. The line that you reflect over is called the line of symmetry. A line of symmetry divides a figure into two mirror-image halves. The following image has only one line of symmetry, that is R.
So, P and Q are not lines of symmetry.
Question 5
1 / -0

What is the smallest number of squares that must be shaded, so that the figure has AB and PQ as the lines of symmetry?

A
6

B
5

C
4

D
3

Solution

6 is the smallest number of squares that must be shaded, so that the figure has AB and PQ as the lines of symmetry.
Question 6
1 / -0

Which of the following figures has a line of symmetry?

A
(A)

B
(B)

C
(C)

D
(D)

Solution

If you can reflect (or flip) a figure over a line and the figure appears unchanged, then the figure has reflection symmetry or line symmetry. The line that you reflect over is called the line of symmetry. A line of symmetry divides a figure into two mirror-image halves.
Only figure A has a line of symmetry.
Question 7
1 / -0

Which of the following figures do not have lines of symmetry?

A
1 and 4

B
2 and 3

C
1, 2 and 3

D
All of these

Solution

Figures 1 and 4 do not have any lines of symmetry.
Question 8
1 / -0

Which of the following has a line of symmetry?

A
(A)

B
(B)

C
(C)

D
(D)

Solution

Only figure B has a line of symmetry.
Question 9
1 / -0

Which of the following figures has/have lines of symmetry?

A
(B) and (C)

B
(A) and (B)

C
(B), (C) and (D)

D
Only (B)

Solution

Figures B and C have lines of symmetry.
Question 10
1 / -0

What is the least number of squares that must be added, so that the line XY becomes a line of symmetry?

A
7

B
8

C
9

D
10

Solution

We should add 7 squares, so that line XY becomes a line of symmetry.
Question 11
1 / -0

How many of the following letters have at least one line of symmetry?

A
8

B
9

C
10

D
11

Solution

10 letters have at least one line of symmetry.
Question 12
1 / -0

Which of the following squares must be added, so that the picture has a line of symmetry?

A
P

B
Q

C
R

D
S

Solution

We need to shade P, so that the picture has a line of symmetry.
Question 13
1 / -0

Which of the following squares must be shaded, so that the picture has a line of symmetry?

A
P

B
Q

C
R

D
S

Solution

Q must be shaded, so that the picture has a line of symmetry.
Question 14
1 / -0

Which of the following lines is a line of symmetry?

A
A

B
B

C
C

D
None of these

Solution

The square folds about axis A and will be symmetrical.
Question 15
1 / -0

Which of the following squares must be shaded, so that the dotted line AB is a line of symmetry?

A
P

B
Q

C
R

D
S

Solution

R must be shaded, so that the dotted line AB is a line of symmetry.
Question 16
1 / -0

What is the least number of squares to be shaded to the figure, so that the red line becomes a line of symmetry?

A
4

B
3

C
2

D
5

Solution

4 squares must be shaded to the figure, so that the red line becomes a line of symmetry.
Question 17
1 / -0

What is the least number of squares to be shaded to the figure, so that it has a line of symmetry?

A
5

B
3

C
2

D
4

Solution

We need to shade 3 more squares.
Question 18
1 / -0

What is the least number of squares to be shaded in the figure, so that the red line becomes a line of symmetry?

A
6

B
4

C
3

D
2

Solution

We need to shade 6 more squares.
Question 19
1 / -0

How many lines of symmetry does this figure have?

A
4

B
3

C
2

D
5

Solution

This figure has 4 lines of symmetry.
Question 20
1 / -0

What is the least number of squares to be shaded, so that the figure has a line of symmetry?

A
1

B
2

C
3

D
4

Solution

We need to shade 1 square, so that the figure has a line of symmetry.