Question

The diagonals of parallelogram DEFG intersect at H. What congruence statements can you make about the parallelogram?

Answer 1

This is the concept of geometry, the congruence statements that can be evaluated from the parallel figure is:
DH=HF
EH=HG
EF=DG
DE=FG
hence;
Hence ΔDEF is congruent to ΔDGF and ΔEFG is congruent to ΔEGD by Side-side-side (SSS) postulate