Question

triangles abc and xyz are shown below.which statement does not provide enough information to conclude that the triangles are congruent?a corresponding sides of both triangles are congruent.b corresponding angles of both triangles are congruent.c two pairs of adjacent sides and the angles in between are congruent.d two pairs of adjacent angles and the sides in between are congruent.

Explanation:

• Option A: If all corresponding sides are congruent, the SSS (Side-Side-Side) congruence criterion confirms the triangles are congruent.
• Option B: If all corresponding angles are congruent, this only proves the triangles are similar (AAA similarity), not congruent—they could be different sizes, so this does not guarantee congruence.
• Option C: This describes the SAS (Side-Angle-Side) congruence criterion, which confirms triangle congruence.
• Option D: This describes the ASA (Angle-Side-Angle) congruence criterion, which confirms triangle congruence.

Answer:

B. Corresponding angles of both triangles are congruent.