Question

GIVE MEDAL AND BECOME FAN PLEASE HELP!!

Given: ABC
Prove: The medians of ABC are concurrent.

Statement: All three lines share point P.
Reason: definition of midpoint

Statement: Two of the three medians share point P.
Reason: using point-slope formula

Statement: and are concurrent.
Reason: definition of concurrence

Statement: P lies on .
Reason: The coordinates of P satisfy the equation of .

Statement: Point P lies on and .
Reason: from above algebra

Answer 1

@ganeshie8

Answer 2

@Michele_Laino

Answer 3

Hint:
I think that the simplest way is to compute the common point P between medians C'D' and B'F'.
After that we can verify, using the slope of the median A'E' that P also belongs to that median A'E'