State whether the following statement is true or false:
A right-angled triangle can have at most two lines of symmetry.
Answer
True.Solution:
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.Solution:
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.