Question

Points EGNK or midpoints explain how you know figure EGHK is a parallelogram

Answer 1

Given a triangle FDH with E, G and H the midpoints of the sides of the triangle

Considering the figure EGHK,

Line EG is parallel and equal to line KH

Line, EK is parallel and equal to line GH

This is a feature of a parallelogram i.e two pair of opposite sides of a parallelogram are parallel and equal

∠GEK is equal to ∠GHK and ∠EGH is equal to ∠EKH

This is a feature of a parallelogram i.e