True or False.
1) Two triangles are congruent either by SAS, ASA, SSA or SSS Congruence Postulate.
2) Given a correspondence between the vertices of two triangles, if the corresponding angles are congruent and the corresponding sides are congruent, then the two triangles are congruent.
3) To prove that the two triangles are congruent, use definitions, properties, some postulates and proven theorems, and the SAS, ASA, or SSS Congruence Postulates.
1) Two triangles are congruent either by SAS, ASA, SSA or SSS Congruence Postulate.
2) Given a correspondence between the vertices of two triangles, if the corresponding angles are congruent and the corresponding sides are congruent, then the two triangles are congruent.
3) To prove that the two triangles are congruent, use definitions, properties, some postulates and proven theorems, and the SAS, ASA, or SSS Congruence Postulates.
Answers & Comments
Answer:
Step-by-step explanation:
1. False. The statement is incorrect. The SSA (Side-Side-Angle) Congruence Postulate is not a valid congruence criterion for triangles. It is important to note that SSA alone does not guarantee congruence. In some cases, two triangles may have the same side lengths and one congruent angle but still be non-congruent. This is known as the ambiguous case or the SSA ambiguity.
2. True. The statement is correct. If the corresponding angles of two triangles are congruent and the corresponding sides are congruent, then the two triangles are congruent. This is known as the ASA (Angle-Side-Angle) Congruence Postulate.
3. True. The statement is correct. To prove that two triangles are congruent, you can use various methods, including definitions, properties, postulates, and proven theorems, along with the SAS (Side-Angle-Side), ASA (Angle-Side-Angle), or SSS (Side-Side-Side) Congruence Postulates. These postulates provide specific criteria for proving triangle congruence.
Correct me if I'm incorrect.