Question

question 20 of 40
which of the following is not a congruence theorem or postulate?
a. aa
b. sss
c. aas
d. sas

Explanation:

Identify triangle congruence criteria

The standard postulates and theorems used to prove triangle congruence are:

• SSS (Side-Side-Side)
• SAS (Side-Angle-Side)
• ASA (Angle-Side-Angle)
• AAS (Angle-Angle-Side)
• HL (Hypotenuse-Leg, for right triangles)

Identify similarity criteria

The AA (Angle-Angle) criterion is a postulate used to prove that two triangles are similar, not congruent. Similar triangles have the same shape but not necessarily the same size.

Evaluate the given options

• A. AA: Similarity criterion (not congruence)
• B. SSS: Congruence postulate
• C. AAS: Congruence theorem
• D. SAS: Congruence postulate

Answer:

• (A) AA (Correct answer)
• (B) SSS
• (C) AAS
• (D) SAS