State whether the following statement is true or false: A right-angled triangle can have at most two lines of symmetry.
Answer
True.
If it is an isosceles right angle triangle, then it can have only one line of symmetry at the most. Otherwise, a right angle triangle has no line of symmetry.
State whether the following statement is true or false: An isosceles triangle with more than one line of symmetry must be an equilateral triangle.
Answer
True.
If an isosceles triangle has no 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.