Answer. C (yes; by SAS)
We know that opposite angles formed by the intersection of two lines are congruent:
Therefore, Angle HMG ≅ Angle JMK
Line HM : Line MK
= 8:12
= 2:3
Line GM : Line MJ
= 6:9
= 2:3
Therefore,
HM ≅ MK
GM ≅ MJ
Therefore, we have one pair of congruent angles, and a pair of congruent sides.
⇒ The two triangles are congruent by SAS theorem.