What theorem can be used to prove that the two triangles are congruent?

I'm marking the brainliest and it's 15 points

Afamily has two cars. the first car has a fuel efficiency of 25 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. during one particular week, the two cars went a combined total of 1025 miles, for a total gas consumption of 55 gallons. how many gallons were consumed by each of the two cars that week?

The figure shows triangle abc with medians a f, bd, and ce. segment a f is extended to h in such a way that segment gh is congruent to segment ag. triangle abc with medians ce, a f, and bd. median a f is extended to point h. a segment joins points b and h and another segment. which conclusion can be made based on the given conditions? segment gf is congruent to segment eg. segment gf is half the length of segment eb. segment gd is congruent to segment eg.segment gd is half the length of segment hc