## Tati_Lee 3 years ago 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.

1. Tati_Lee

2. Freyes

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

3. Freyes

Only one of these is correct yes?

4. Freyes

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

5. cwrw238

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

6. Freyes

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

7. Freyes

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

8. Freyes

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

9. cwrw238

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

10. Freyes

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

11. Tati_Lee