The picture below is of a baseball diamond. If the distance between 1st and 2nd base is the same as the distance between 2nd base and third base, and the angles at 2nd base are congruent (see picture), Are the two triangles made congruent? If so, what theorem tells us that?

Question

A yes SSS
B yes SAS
C yes ASA
D No, they are not congruent because SSA is not a congruence theorem

Answer 1

Based on the given information and picture, we can conclude that the two triangles are congruent. The distances between 1st and 2nd base and between 2nd base and 3rd base are equal, so we have the side-side-side (SSS) congruence. Hence, the correct answer is A) yes SSS.