theorem in Euclidean geometry using ANALYTIC techniques

theorem in Euclidean geometry using ANALYTIC techniques
Theorem: If the midpoints of the sides of a parallelogram taken in succession are joined, the quadrilateral formed is a parallelogram.

Prove the given theorem in Euclidean geometry using ANALYTIC techniques.

1. Include each step of your proof.

2. Provide written justification for each step of your proof
theorem in Euclidean geometry using ANALYTIC techniques