What does the SAS congruence postulate require?

What does the SAS congruence postulate require?

• A. Two angles and the included side are equal
• B. Two sides and the included angle are congruent
• C. Two sides are equal, and one angle is different
• D. All corresponding sides must be equal

Answer: (B)

The SAS congruence postulate requires that two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle. This means that if you have two sides of one triangle that are equal in length to two sides of another triangle, and the angle formed between those two sides is also equal, then the two triangles are congruent. This postulate is particularly useful in triangle congruence proofs because it allows for the establishment of triangle equality using only a few pieces of information. Knowing that two sides and the angle between them are congruent ensures that the triangles have the same shape and size, making it a powerful tool in geometry and proving triangle congruence.

The SAS congruence postulate requires that two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle. This means that if you have two sides of one triangle that are equal in length to two sides of another triangle, and the angle formed between those two sides is also equal, then the two triangles are congruent.

This postulate is particularly useful in triangle congruence proofs because it allows for the establishment of triangle equality using only a few pieces of information. Knowing that two sides and the angle between them are congruent ensures that the triangles have the same shape and size, making it a powerful tool in geometry and proving triangle congruence.