Question

May you help me with this question?

@jim_thompson5910

Answer 1

Its the last one again. The whole bisector thing...

Answer 2

Medians means that the lines divide everything in half. You have point H extended beyond the median so it also lies on the straight line half way between points B and C.

Answer 3

triangle AGD is similar to triangle AHC based on these three facts

angle GAD = angle HAC
HA = 2*GA
CA = 2*DA

Answer 4

So we use those 3 facts and the SAS similarity theorem to say triangle AGD is similar to triangle AHC

Answer 5

So we can then use this to prove that

angle ADG = angle ACH

since they are corresponding angles. Because they are congruent, this proves GD || HC

Answer 6

@jim_thompson5910 @IMStuck Therefore, it's C not D? O.o

Answer 7

reread what I wrote