Question

decide if each statement is true or false.
scalene triangles are symmetric.
isosceles triangles have 1 line of symmetry.
equilateral triangles have 3 lines of symmetry.

Explanation:

Step1: Analyze scalene triangle symmetry

A scalene triangle has no equal sides or angles. So, it has no line of symmetry. Thus, "Scalene triangles are symmetric" is false.

Step2: Analyze isosceles triangle symmetry

An isosceles triangle has two equal sides. The line of symmetry is the perpendicular bisector of the base (the side that is not equal). So, "Isosceles triangles have 1 line of symmetry" is true.

Step3: Analyze equilateral triangle symmetry

An equilateral triangle has all three sides equal. Each altitude (or median or angle - bisector) is a line of symmetry. There are three such lines. So, "Equilateral triangles have 3 lines of symmetry" is true.

Answer:

1. False
2. True
3. True