Question

1. what are the differences between the situations in which you would use the sas triangle congruence theorem versus the asa triangle congruence theorem? to use the asa triangle congruence theorem, you must prove two pairs of angles and the pair of included sides are congruent. to use the sas triangle congruence theorem, you must prove two pairs of sides and the pair of included angles are congruent. to use the asa triangle congruence theorem, you must prove one pair of angles and the pair of included sides are congruent. to use the sas triangle congruence theorem, you must prove two pairs of sides and the pair of included angles are congruent. to use the asa triangle congruence theorem, you must prove two pairs of angles and the pair of included sides are congruent. to use the sas triangle congruence theorem, you must prove one pair of sides and the pair of included angles are congruent. to use the asa triangle congruence theorem, you must prove two pairs of sides and the pair of included angles are congruent. to use the sas triangle congruence theorem, you must prove two pairs of angles and the pair of included sides are congruent.

Explanation:

ASA (Angle-Side-Angle) requires two pairs of congruent angles with the side between them (included side) congruent. SAS (Side-Angle-Side) requires two pairs of congruent sides with the angle between them (included angle) congruent. The correct option matches these definitions.

Answer:

To use the ASA Triangle Congruence Theorem, you must prove two pairs of angles and the pair of included sides are congruent. To use the SAS Triangle Congruence Theorem, you must prove two pairs of sides and the pair of included angles are congruent.