Question

Suppose BD congruent CA and AB congruent CD. Can you use the SSS POstulate or the SAS Postulate to prove triangle ABD congruent triangle DCA? A. neither apply, B. by SSS only, C. by SAS only, D. both apply

Answer 1

The correct answer is C. By SAS only.

The SAS (Side-Angle-Side) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

In this case, we have BD congruent to CA (side), AB congruent to CD (side), and the included angles being angle ABD and angle DCA. Since we have two sides and the included angle congruent, we can use the SAS postulate to prove that triangle ABD is congruent to triangle DCA.

Therefore, the correct statement is that triangle ABD congruent triangle DCA can be proven by the SAS postulate.