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 are congruent (see picture) are the two triangles made congruent? If so, what theorem tells us that ?
Without being able to see the picture, it is difficult to determine the theorems that apply. However, if the distances between 1st and 2nd base and between 2nd base and 3rd base are equal, and the angles formed at each base are congruent, then the triangles formed by connecting the bases can be determined to be congruent using the Side-Angle-Side (SAS) congruence theorem. This theorem states that if two triangles have two sides that are congruent and the included angle is congruent, then the triangles are congruent.
