midpoints of the sides of a parallelogram

midpoints of the sides of a parallelogram

Prove when 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 synthetic techniques.
1. Include each step of your proof.
2. Provide written justification for each step of your proof.
midpoints of the sides of a parallelogram

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