Symmetry Test

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Symmetry Test - 17

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Question 1
1 / -0

Which letter has line of symmetry?

A
$$A$$

B
$$B$$

C
$$C$$

D
$$D$$

E
All of the above

Solution

A line of symmetry is a line that divides a figure into two corresponding parts, each of which is the mirror image of the other.

All Letters $$A, B, C, D$$ have a line of symmetry, when we cut the letters $$A, B, C, D$$ from the middle, it divides it into $$2$$ equal parts and both the parts are a mirror image of each other.

Hence, option $$E$$ is correct.
Question 2
1 / -0

How many lines of symmetry does this tessellation have?

A
6

B
2

C
4

D
1

Solution

Line of symmetry divides a figure into two equal parts.

The given tessellation has $$6$$ lines of symmetry, as shown in the figure above.
Question 3
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Directions For Questions

Solve the problem

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Which of the lines in the picture are lines of symmetry of the given figure?

A
q and s

B
Only r

C
r and t

D
q, r, s and t

Solution

If you can reflect (or flip) a figure over a lime 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.

Then r and t are line of symmetry
Question 4
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Which of the lines in the picture are lines of symmetry of the figure?

A
l, m and o

B
l and n

C
l, m, n and o

D
m and o

Solution

If you can reflect (or flip) a figure over a lime 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.
In the given figure, lines $$l$$ and $$n$$ divide figure into two mirror-image halves.
Hence, they are lines of symmetries.
Question 5
1 / -0

Which of the lines in the picture are lines of symmetry of the figure?

A
Only $$l$$

B
No reflection symmetry

C
Only $$m$$

D
$$l$$ and $$n$$

Solution

If you can reflect a figure over a line and the figure appears unchanged, then the figure has reflection symmetry or line of symmetry. The line that you reflect over is called line of symmetry. A line of symmetry divides figure into two mirror images.

So, in the given figure none of the lines $$l,\ m$$ or $$n$$ shows above mentioned properties.
Question 6
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The lines of symmetry of the given figure is/are

A
$$0$$

B
$$1$$

C
$$2$$

D
$$3$$

Solution

As shown in the figure, option B is correct.
Question 7
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Identify the line(s) of symmetry for the given figure.

A

B

C

D

Solution

From the give figures, option A is correct.
Question 8
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What is the smallest number of squares that must be shaded so that the figure has a line of symmetry?

A
$$1$$

B
$$3$$

C
$$5$$

D
$$7$$

Solution

Line of symmetry is defined as it divides the figure into two equal mirror halves.

Therefore total $$3$$ squares must be shaded so that the figure has a line of symmetry along its diagonal.

Hence the correct answer is option B.
Question 9
1 / -0

Which of the following dotted lines is a line of symmetry?

A
L

B
M

C
N

D
None of these

Solution

The line of symmetry divides the figure into two equal mirror halves.
$$\therefore$$ only dotted line N satisfies the above condition
Hence the correct answer is option C
Question 10
1 / -0

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

A
$$1$$

B
$$2$$

C
$$3$$

D
$$4$$

Solution

Line of symmetry is defined as it divides the figure into two equal mirror halves.
So from the above figure minimum $$2$$ squares should be added so that line AB becomes a line of symmetry.
Hence the correct answer is option B