Synthetic and analytical proof: parrallelogram
Theorem: If the consecutive midpoints of the sides of a
parallelogram are joined in order, then the quadrilateral formed from the
midpoints is a parallelogram.
A. Prove the theorem given above in Euclidean geometry using
synthetic techniques.
1. Include each step of your proof.
2. Provide written justification for each step of your
proof.
B. Prove the theorem given above in Euclidean geometry using
analytic techniques.
1. Include each step of your proof.
2. Provide written justification for each step of your
proof.
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