MATHS TRUE / FALSE

A regular pentagon has 5 lines of symmetry and rotational symmetry of order 5. (True)

A regular triangle has 3 lines of symmetry and rotational symmetry of order 3. (True)

The angle of rotation of a figure is obtained by dividing 360° by the order of rotational symmetry. (True)

If a figure possesses a rotational symmetry, then it must look exactly the same at least once up to a rotation of 180°. (True)

An isosceles triangle has neither a line symmetry nor a rotational symmetry. (False)
Correct : It has one line of symmetry but no rotational symmetry.

A semicircle has rotational symmetry of order 2. (False)
Correct : It has no order of rotational symmetry.

In a rectangle, the angle of rotational symmetry is 90°. (False)
Correct : Its angles are 180°

In a regular hexagon, the perpendicular bisector of the sides are the only lines of symmetry. (False)
Correct : Its diagonals are also the lines of symmetry.

In a regular pentagon, the perpendicular bisector of the sides are the only lines of symmetry. (True)

A circle has exactly four lines of symmetry. (False)
Correct : As a circle has infinite lines of symmetry.

The order of rotational symmetry of a rhombus is four. (False)
Correct : it has two order of rotational symmetry.

A parallelogram has two lines of symmetry. (False)
Correct : It does not have any line of symmetry.

A rhombus is also a parallelogram and hence it does not have line symmetry. (False)
Correct : As rhombus is a special type of ||gm which has all sides equal.

The letter A has line symmetry but no rotational symmetry. (True)