## Ncert Solutions for Class 6 Maths Chapter 13 Symmetry Exercise 13.2:-

**Exercise 13.2**Ā Class 6 maths NCERT solutions Chapter 13 Symmetry pdf download:-

Ā

Ā

### Ncert Solution for Class 6 Maths Chapter 13 Symmetry Exercise 13.2 Tips:-

**Introduction:-**

Figures with Two Lines of Symmetry

A kite

One of the two set-squares in your instrument box has angles of measure 30Ā°,

60Ā°, 90Ā°.

Take two such identical set-squares. Place them side by side

to form a ākiteā, like the one shown here.

How many lines of symmetry does the shape have?

Do you think that some shapes may have more than one line

of symmetry?

A rectangle

Take a rectangular sheet (like a post-card). Fold it once lengthwise so that one

half fits exactly over the other half. Is this fold a line of symmetry? Why?

Open it up now and

again fold on its

width in the same

way. Is this second

fold also a line of

symmetry? Why?

Do you find that these two lines are the lines of

symmetry?

A cut out from double fold

Take a rectangular piece of paper. Fold

it once and then once more. Draw

some design as shown. Cut the shape

drawn and unfold the shape. (Before

unfolding, try to guess the shape you

are likely to get).

How many lines of symmetry

does the shape have which has been

cut out?

Create more such designs.

Do This

1st fold 2nd fold

Form as many

shapes as you

can by

combining two

or more set

squares. Draw

them on squared

paper and note

their lines of

symmetry.

Take a square piece of paper. Fold it into half vertically,

fold it again into half horizontally. (i.e. you have folded

it twice). Now open out the folds and again fold the

square into half (for a third time now), but this time

along a diagonal, as shown in the figure. Again open it

and fold it into half (for the fourth time), but this time

along the other diagonal, as shown in the figure. Open

out the fold.

How many lines of symmetry does the shape have?

We can also learn to construct figures with two lines of symmetry starting

from a small part as you did in Exercise 13.1, question 4, for figures with one

line of symmetry.

1. Let us have a figure as shown alongside.

2. We want to complete it so that we get a figure

with two lines of symmetry. Let the two lines

of symmetry be L and M.

3. We draw the part as shown to get a figure having

line L as a line of symmetry.

3 lines of symmetry

for an equilateral triangle

4. To complete the figure we need it to be

symmetrical about line M also. Draw the

remaining part of figure as shown.

This figure has two lines of symmetry i.e. line L

and line M.

Try taking similar pieces and adding to them so

that the figure has two lines of symmetry.

Some shapes have only one line of symmetry; some have two lines of

symmetry; and some have three or more.

Can you think of a figure that has six lines of symmetry?