Symmetry Test

Result

Symmetry Test - 12

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Question 1
1 / -0

Based on the given half image, which of the following option represents complete image?

A

B

C

D

Solution

Option $$D$$ forms a symmetrical image of the given image in the question.
$$\therefore$$ Correct answer is option $$D$$.
Question 2
1 / -0

What is the order of rotational symmetry of rectangle?

A
1

B
2

C
3

D
4

Solution

If a rectangle is rotated by $$180(half\ of\ 360)$$, then it exactly fits its own outline.
Therefore a rectangle has rotational symmetry of order$$ 2$$
Question 3
1 / -0

Find the order of rotational symmetry of rhombus.

A
4

B
3

C
2

D
1

Solution

If a rhombus is rotated by $$180^o$$ (half of $$360^o$$), then it exactly fits its own outline.
Therefore a rhombus has rotational symmetry of order $$2$$.
Question 4
1 / -0

If this hexagon is rotated $$90^o$$ clockwise about point $$A$$, how many lines of symmetry will there be in the diagram formed by the hexagon and its image?

A
4

B
1

C
2

D
0

Solution

If you can effect 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 line of symmetry . Aline of symmetry divides figure into two mirror image .
If this hexagon is rotated 90 clockwise about point A .
Then 4 line of symmetry will be there
Question 5
1 / -0

How many lines of symmetry does this star have?

A
2

B
5

C
4

D
3

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.

In the given figure, vertical and horizontal line which meet at the center of the figure are line of symmetry.
Also the lines which make the angle $$45^o$$ with vertical or horizontal lines are also line of symmetry for this figure.

Hence the given Star have $$4$$ line of symmetry.
Question 6
1 / -0

Which of the following figures has a line of symmetry?

A

B

C

D
None of these

Solution

Line of symmetry divides the figure into two equal mirror halves
Hence none of the figure in option $$A$$, $$B$$ and $$C$$ are having the line of symmetry which will divide figure into two equal mirror halves.
Hence the correct answer is option D.
Question 7
1 / -0

Which of the following figures has a line of symmetry?

A

B

C

D

Solution

The line of symmetry divides a figure into two equal mirror halves.

Only option D satisfies this condition. Hence option D is the correct answer.
Question 8
1 / -0

The line of symmetry for a line segment is along its

A
perpendicular

B
perpendicular bisector

C
vertex

D
none of the above

Solution

Line of symmetry may also be defined as the line segment along which, when the image is folded one side over the other, the upper folded area fully covers the lower folded area.
Hence line of symmetry is always along the perpendicular bisector
Question 9
1 / -0

How many of the following figures have no line of symmetry?

A
$$2$$

B
$$3$$

C
$$4$$

D
$$5$$

Solution

Out of the given figures, figure no. $$1$$ and $$4$$ from left have $$2$$ and $$1$$ line of symmetry respectively. Other figures do not have any line of symmetry.

So, 3 figures have no line of symmetry.

Hence the correct answer is option (B).
Question 10
1 / -0

Identify the line of symmetry of the following line segment (horizontal).

A

B

C

D

Solution

Option A has the perpendicular bisector, therefore, there is line of symmetry.