Question

The figure shows triangle ABC with medians AF, BD, and CE. Segment AF is extended to H in such a way that segment GH is congruent to segment AG.

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.

Answer 1

Give me a sec. Gotta go write this down on paper.

Answer 2

Only one of these is correct yes?

Answer 3

Not 100% sure
but i think it's the last 1

Answer 4

triangles AGD and AHC are similar
so i think its the last option

Answer 5

I proved the other 3 are wrong so.. it has to be the last option

Answer 6

I set it up with sides of 12,8,and 10 on the big triangle

Answer 7

did some trig and got the first 3 wrong so the only 1 i didnt check was the last

Answer 8

ac = 2 ad
so other corresponding sides are in same ratio

Answer 9

Yep, so answer is that: Segment GD is half the length of segment HC.

Answer 10

thanks i had gotten that answer