Asked by Ian
I will prove that quadrilateral MNOP is a rectangle by demonstrating that _.
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GPT-5 mini
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Here are several equivalent ways to complete the sentence (each proves MNOP is a rectangle):
- "all four interior angles are right angles." (Definition of rectangle.)
- "MN ∥ OP, NO ∥ MP, and MN ⟂ NO." (Opposite sides parallel (parallelogram) and an adjacent pair perpendicular ⇒ rectangle.)
- "MNOP is a parallelogram and one of its angles is a right angle." (A parallelogram with one right angle has four right angles.)
- "MNOP is a parallelogram and its diagonals are equal in length." (A parallelogram with equal diagonals is a rectangle.)
Pick the version that best fits the information you have.
- "all four interior angles are right angles." (Definition of rectangle.)
- "MN ∥ OP, NO ∥ MP, and MN ⟂ NO." (Opposite sides parallel (parallelogram) and an adjacent pair perpendicular ⇒ rectangle.)
- "MNOP is a parallelogram and one of its angles is a right angle." (A parallelogram with one right angle has four right angles.)
- "MNOP is a parallelogram and its diagonals are equal in length." (A parallelogram with equal diagonals is a rectangle.)
Pick the version that best fits the information you have.
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