How many lines of symmetry does an equilateral triangle have?
Answer
The number of positions a figure can be rotated to, without bringing in any changes to the way it looked originally, is called its order ofrational symmetry.So, the order of rotational symmetry of an equilateral triangle is $3.$
$i.$ How many lines of symmetry does the given figure have? Draw these lines.
$ii.$ What is the order of rotational symmetry of the given figure?
Answer
$i.$ The given figure has two lines of symmetry which has been drawn.
$ii.$ It has three orders of the rotational symmetry which are $90^\circ , 270^\circ $ and $360^\circ .$
Give an example of a letter of the English Alphabet which has:
$i.$ No line of symmetry.
$ii.$ Rotational symmetry of order $2.$
Answer
There is one letter of the English Alphabet $Z$ which has no line of symmetry but it has order two of rotational symmetry of $180^\circ $ and $360^\circ .$