Question

jalecia says that two triangles are congruent if their interior angles are congruent. is jalecia correct, and why?
○ yes. congruent triangles have congruent interior angles.
○ yes. if the angles of two triangles are congruent, then the triangles are similar.
○ no. congruent triangles should also have corresponding congruent side lengths.
○ no. the interior angles of congruent triangles are supplementary, not congruent.

Explanation:

Congruent triangles must have both congruent angles and congruent corresponding side lengths. Just having congruent interior angles makes triangles similar (by AA - Angle - Angle similarity criterion), not necessarily congruent.

• First option: Only mentions angles, ignores side lengths. Congruent triangles do have congruent angles, but that's not the only condition.
• Second option: Confuses similarity (when angles are congruent) with congruence.
• Fourth option: Incorrect. Interior angles of congruent triangles are congruent, not supplementary.

Answer:

No. Congruent triangles should also have corresponding congruent side lengths.