Question

Which postulate or theorem can you use to prove that △ABC=△RSQ. *

SAS
HL
AAS
SSS

Answer 1

The Congruence Postulate can be used to prove that △ABC=△RSQ by showing that their corresponding sides and angles are congruent. This can be done using the Side-Side-Side (SSS) and Angle-Angle-Angle (AAA) congruence criteria.

Step-by-step explanation:

The postulate or theorem that can be used to prove that △ABC=△RSQ is the Congruence Postulate. According to this postulate, if the corresponding parts of two triangles are congruent (i.e., have the same measures), then the triangles themselves are congruent. In this case, if we can show that the corresponding sides and angles of △ABC and △RSQ are congruent, then we can conclude that the two triangles are congruent, △ABC=△RSQ.

To prove that △ABC=△RSQ, you need to show that:

1. The sides of △ABC are congruent to the corresponding sides of △RSQ. This can be determined using the Side-Side-Side (SSS) congruence criterion. If all three sides of one triangle are congruent to the corresponding sides of the other triangle, then the triangles are congruent.
2. The angles of △ABC are congruent to the corresponding angles of △RSQ. This can be determined using the Angle-Angle-Angle (AAA) congruence criterion. If all three angles of one triangle are congruent to the corresponding angles of the other triangle, then the triangles are congruent.

By proving both the side congruence and angle congruence, you can conclude that △ABC=△RSQ.