R d sharma mathematics solutions class 6 Solutions for Chapter 16 symmetry

List any four symmetrical objects from your phone or school. Also, mention the line of symmetry.

Identify the symmetrical instruments from your mathematical instrument box.

Copy each of the following on a squared paper and compute them in such a way that the dotted line isthe line of symmetry.

Find the number of lines of symmetry in each of the following shapes.

Copy the following drawings on squared paper and complete each one of them in such a way thatresulting figure has two dotted lines as two lines of symmetry:

Complete the following table:

Consider the English alphabets A to Z. List among them the letters which have

(i)vertical line of symmetry. (like A)

(ii)horizontal lines of symmetry. (like B)

(iii)vertical and horizontal lines of symmetry. (like I)

(iv)no line of symmetry. (like Q)

Can you draw a triangle having:

(i)exactly one line of symmetry

(ii)exactly two lines of symmetry.

(iii)three lines of symmetry.

(iv)no line of symmetry.

On a squared paper, sketch the following:

(i)A triangle with a horizontal line of symmetry but no vertical line of symmetry.

(ii)A quadrilateral with both horizontal and vertical lines of symmetry.

(iii)A quadrilateral with a horizontal line of symmetry but no vertical line of symmetry.

(iv)A hexagon with exactly two lines of symmetry.

(v)A hexagon with six lines of symmetry

Draw neat diagrams solving the line (or lines) of symmetry and give the specific name to the quadrilateral having:

(i) only one line of symmetry. How many such quadrilaterals are there?

(ii) its diagonals as the only lines of symmetry.

(iii) two lines of symmetry other than diagonals.

(iv) more than two lines of symmetry.

Write the specific names of all the three quadrilaterals which have only one line of symmetry.

Trace each of the following figures and draw the lines of symmetry, if any:

On squared paper copy the triangle in each of the following figures. In each case draw the line(s) ofsymmetry if any and identify the type of the triangle.

Find the lines of symmetry for each of the following shapes:

State whether the following statements are true or false:

(i) A right-angled triangle can have at most one line of symmetry.

(ii) An isosceles triangle with more than one line of symmetry must be an equilateral triangle.

(iii) A pentagon with one line of symmetry can be drawn.

(iv) A pentagon with more than one line of symmetry must be regular.

(v)A hexagon with line of symmetry can be drawn.

(vi)A hexagon with more than two lines of symmetry must be regular.