Question

Erika is trying to prove that these triangles are similar. She says that ∠NOM ≅∠QOP by the reflexive property. What mistake did she make and what would be the correct answer?

Answer 1

Recall that the reflexive property of congruence states that:

`\angle A\cong\angle A.`

Therefore Erika is incorrectly using the reflexive property of congruence.

The angles NOM and QOP are congruent because they are vertical angles.

Answer: Erika is incorrectly using the reflexive property of congruence, the correct answer is that the angles NOM and QOP are congruent because they are vertical angles and vertical angles are congruent.