Question 1

Draw lines of symmetry for the following figures. Identify which of them have point symmetry. Is there any implication between lines of symmetry and point symmetry?

Accepted Answer

2 Lines of Symmetry 3 Lines of Symmetry 4 Lines of Symmetry 5 Lines of Symmetry 6 Lines of Symmery 8 Lines of Symmetry 7 Lines of SymmetryThe below figure has point symmetry.Yes, there is implication between lines of symmetry and point symmetry.

Question 2

Find the order of rotational symmetry of equilateral triangle.

Accepted Answer

If a equilateral triangle is rotated by 120 (one fifth of 360), then it exactly fits its own outline.Therefore a equilateral triangle has rotational symmetry of order 3.

Question 3

Write all the capital letters of the English alphabets which have two lines of symmetry.

Accepted Answer

Letter H,I and X has two line of symmetry.

Question 4

How many lines of symmetry are in this isosceles triangle?

Accepted Answer

An isosceles triangle has one line of symmetry. However, if the isosceles triangle is also an equilateral triangle, then it has three lines of symmetry.But the given triangle is not an equilateral triangle.An isosceles triangle is defined as a triangle with two sides of equal length. An equilateral triangle is defined as a triangle with three sides of equal length. Therefore, an equilateral triangle is also an isosceles triangle. This triangle has 2 sides of equal length. When an isosceles triangle has exactly two sides of equal length, then it has just 1 line of symmetry that runs from the vertex between the two sides of equal length to the midpoint of the side opposite that vertex.So option A is the correct answer.

Question 5

Which of the following alphabet has horizontal line of symmetry ?

Accepted Answer

As shown in figure we have horizontal line of symmetry or figure is symmetrical above the horizontal line passing through the the $B,H,E$

Question 6

How many lines of symmetry are there for an equilateral triangle.

Accepted Answer

Equilateral triangle have all three sides equal and all three&#10;angles equal showing 3 lines of symmetry.

Question 7

Draw all lines of symmetry for each of the following letters:

Accepted Answer

(i)Letter 'C' has one line symmetry.(ii) Letter 'E' has one line symmetry.(iii)Letter 'F' has no line symmetry.(iv)Letter 'K' has no line symmetry.(v)Letter 'X' has two line symmetry.(vi) letter 'V' has one line symmetry.(vii)Letter 'M' has one line symmetry.(viii)Letter 'Y' has one line symmetry.

Question 8

Give three examples of shapes with no line of symmetry.

Accepted Answer

The three examples are(i) Quadrilateral (ii) Scalene triangle(iii) Parallelogram

Question 9

How many lines of symmetry are there in a regular hexagon?

Accepted Answer

A regular hexagon with six equal sides has six lines of symmetry. For all regular polygons, the number of lines of symmetry is equal to the number of sides. That is an equilateral triangle has 3 lines of symmetry, a square has 4 lines of symmetry, similarly a regular hexagon has 6 lines of symmetry.The answer is 6.

Question 10

Which of the following alphabet has vertical line of symmetry?

Accepted Answer

Option A is correct because Left side of line is the mirror image of right one and vise versa.