Question

State whether the following statements are true of 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 one line of symmetry can be drawn.
(vi) a hexagon with more than two lines of symmetry must be regular.

Answer 1

(i) True
If it is an Isosceles right-angled triangle, then it can have only one line of symmetry at the most. Otherwise, a right-angled triangle has no line of symmetry.



(ii) True

If an Isosceles triangle has more than one line of symmetry, then it must be an Equilateral triangle.
This is because an Equilateral triangle has three lines of symmetry, and a triangle other than that cannot have two lines of symmetry.


Isosceles triangle Equilateral triangle

(iii) True



(iv) True



(v) True


(vi) True