Question

Which of the following reasons could be used to correctly complete the proof? Select all that apply.

A. Congruence of angles is reflexive.
B. Congruence of angles is transitive.
C. Congruence of angles is symmetric.
D. Definition of congruent triangles.
E. Vertical angles are congruent.

Answer 1

The correct reasons that could be used to complete the proof are the symmetry property of congruence of angles, the definition of congruent triangles, and the fact that vertical angles are congruent.

Step-by-step explanation:

The correct reasons that could be used to complete the proof are:

1. C. Congruence of angles is symmetric. This property states that if angle A is congruent to angle B, then angle B is congruent to angle A.
2. D. Definition of congruent triangles. If two triangles are congruent, then their corresponding angles are congruent.
3. E. Vertical angles are congruent. Vertical angles are formed by two intersecting lines and they are always congruent