Given:
Different types of congruence postulates.
To find:
Which cannot be used to prove that two triangles are congruent?
Solution:
According to AAS congruence postulate, if two angles and a non including sides of two triangles are congruent, then triangles are congruent.
According to SAS congruence postulate, if two sides and an including angle of two triangles are congruent, then triangles are congruent.
According to SSS congruence postulate, if all three sides of two triangles are congruent, then triangles are congruent.
AAA states that all three angles of two triangles are equal and no information about sides.
So, it is a similarity postulate not congruent postulate. According to AAA two triangles are similar not congruent.
Therefore, the correct option is D.
