Answer:
a. is congruent by SSS
b. is congruent by AAS
c. is congruent by ASA
d. is congruent by SAS
Step-by-step explanation:
a. is SSS because all sides are marked
b. is AAS because the point where the two triangles meet are vertical angles and the one side of the triangle is marked congruent making AAS
c. is ASA because the angles are on segment FG and segment BC and there is a congruent line in between the two angles making ASA
d. is SAS because the triangles share the segment QS and when two triangles share a segment, that segment is congruent. the outside segment is congruent and then there is an angle and then the inside segment is congruent