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What theorems can we prove about parallelograms?

Objectives

Students will:

  1. Prove that opposite angles of a parallelogram are congruent.
  2. Prove that rectangles are parallelograms with congruent diagonals.
  3. Prove that a parallelogram is a rectangle if and only if its diagonals are congruent.

Skills Needed

Students must be able to:

  1. Apply theorems for congruent triangles.
  2. Apply theorems for angles formed by parallel lines intersected by a transversal.
  3. Be able to follow and create proofs.