Introduction to Symmetry

Q.

Which of the following letters of English alphabets have more than $2$ lines of symmetry?

1. 

2. 

3. 

4. 

Q.

Which of the following alphabets don't have any line of symmetry?

1. $A$

2. $B$

3. $F$

4. $L$

Q.

State whether the given statement is true or false.
Diameter is the line of symmetry of a circle.

1. True

2. False

Q.

How many lines of symmetry can be drawn in the given figure

Q.

When is a figure said to have a line symmetry?

1. We can fold a picture in half such that the right and left halves match exactly

2. The two halves are mirror images of each other

3. The two halves are not the mirror images of each other

4. None of these

Q. A figure is symmetrical about the line which divides the figure in _____ indentical parts

1. $2$
2. $4$
3. $3$
4. $5$

Q.

The following figure is ____ .

1. asymmetrical

2. symmetrical

3. congruent

4. None of these

Q.

Match the shapes mentioned in column 1 with the number of lines of symmetry it exhibits.
$$\begin{array}{cc}Shapes& \text{Lines of Symmetry}\\ \text{(a) Equilateral triangle}& \text{(i) 2}\\ \text{(b) Square}& \text{(ii) 3}\\ \text{(c) Circle}& \text{(iii) 4}\\ \text{(d) Rectangle}& \text{(iv) Infinte}\\ \text{(e) Regular Pentagon}& \text{(v) 5}\end{array}$$

1. (a)-v, (b)-iii, (c)-iv, (d)-ii, (e)-i

2. (a)-ii, (b)-iii, (c)-iv, (d)-i, (e)-v

3. (a)-iii, (b)-ii, (c)-i, (d)-iv, (e)-v

4. (a)-ii, (b)-iii, (c)-i, (d)-iv, (e)-v

Q.

If a line divides a figure into two parts, what are the conditions that those two parts should have for the figure to be symmetric?

1. They must have same shape, size and orientation

2. They must have same shape and size but they may or may not have same orientation

3. They must have same shape and size and different orientation

4. They must have same shape but may have different size and orientation

Q.

Fill in the blanks using symmetrical or non-symmetrical:

____

Q.

<Two friends arguing>

Arjun: If a figure can be folded along any line such that one half superimposes the other, it is known as symmetric figure.

Shubh: If you can find a line in the figure which divides it in identical parts, then the figure is always symmetric.

1. Both Arjun and Shubh are right

2. Arjun is wrong and Shubh is right

3. Both Arjun and Shubh are wrong

4. Arjun is right and Shubh is wrong

Q.

Which of the following letters are asymmetric?

Q. The L-shape ABCDEF is the image of the L-shape ABCDEF after reflection in which of the following lines?

1. $x-axis$
2. $x=-3$
3. $y=x$
4. $y=-x$