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Can You Conclude That This Parallelogram Is A Rectangle Explain

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Chesser Ai Answer

Yes—if any angle is 90°, then all angles are right, making it a rectangle.

Key Concepts

  • Criterion: Right angle implies rectangle
  • Alternate: Equal diagonals imply rectangle
  • Property: Opposite sides parallel

Steps

  1. Action: Check for a right angle
  2. Action: Check diagonals for equality
  3. Action: Conclude rectangle if condition holds

Formula

$$mathbf{a} cdot mathbf{b} = 0 quad text{(adjacent sides perpendicular)}$$

$$|mathbf{a} + mathbf{b}| = |mathbf{a} – mathbf{b}| quad text{(diagonals equal)}$$

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