Question

A teacher draws an equilateral triangle with center T. Consider the statements five students write. Which two students write a true statements

Answer 1

Step 1

The order of rotational symmetry of an equilateral triangle is 3. This means that if you rotate a triangle about its center by 120 degrees or a multiple of 120 degrees not above 360, it carries the equilateral triangle onto itself.

Step 2

The answers will therefore be

1) A 240-degree rotation about the center T carries the equilateral triangle onto itself.

2) A 360-degree rotation about the center T carries the equilateral triangle onto itself.

Hence the two students with true statements are student 2 and student 5