Question

If two angles are congruent, then they are vertical angles? True or False. If true explain your reasoning. If false, give an counter example.

Answer 1

The correct answer is:

False.

Explanation:

While vertical angles are congruent, this does not mean that all congruent angles must be vertical angles. Other types of angles are congruent as well; for example, alternate interior angles are congruent; alternate exterior angles are congruent; corresponding angles are congruent; etc.

Answer 2

This statement is false as all vertical angles are considered congruent but not all congruent angles are considered vertical angles. Any obtuse or acute angle may be considered congruent. If the angle from point A to B is 110 and the angle between B to C is 110 as well then they are congruent