Geometry H - Formulas for Coordinate Proofs

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4 Terms

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How to prove line segments congruent?

  • Lengths are = , so the distance formula.

d = √(x2 - x1)² + (y2 - y1)²

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How to prove lines parallel?

  • They have to be the same slope, so the slope formula.

  • m = (y₂ - y₁) / (x₂ - x₁)

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How to prove lines perpendicular?

  • Slopes are negative reciprocals, so again, its the slope formula.

  • m = (y₂ - y₁) / (x₂ - x₁)

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How to prove that line segments bisect each other?

  • Their midpoints have to be the same, so therefore we have to use the midpoint formula.

  • M = (x1 + x2)/2, (y1 + y2)/2