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.

Triangle ABC with medians CE, AF, and BD. Median AF is extended to point H. A segment joins points B and H and another segment joins points H and C.

Which conclusion can be made based on the given conditions?

Segment EG is congruent to segment GD.
Segment GF is half the length of segment EB.
Segment BG is congruent to segment GC.
Segment EG is half the length of segment BH.

Answer 1

Do you have any initial thoughts on this question or do you not have an idea of where to start?

Answer 2

idk im bad at geometry everything else im good at

Answer 3

im only posting the one i suck at

Answer 4

@Shadow

Answer 5

Yeah the last one was easier than this. Going to call in the big guns @Vocaloid

Answer 6

ok this took me an embarrassingly long time to figure out but I think I got it

Answer 7

AEG and ABH are similar via SAS where AEG's side lengths are half of ABH's side lengths

so EG must be half BH

Answer 8

I'm a little tired but I will try to explain if you are still confused about what I did

Answer 9

YEA I GOT IT THX

Answer 10

Isn't she amazing?