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Equation of a Perpendicular Line Practice

Equation of a Perpendicular Line Practice
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2019-11-15 00:04
FunctionCoordinate GeometryGeometric Construction
This example demonstrates how to find the equation of a perpendicular line using GeoGebra. It involves core math concepts like linear equations, slope, and perpendicularity. Construction highlights include commands like RandomElement, Text, FractionText, Shuffle, Append, and Corner. Suitable for high school students practicing coordinate geometry and slope calculations, or for classroom activities.

GeoGebra Commands & Parameters

  1. RandomElement({-6, -5, -4, -3, -2, -1, 1, 2, 3, 4, 5, 6}) → yint
  2. RandomElement({4, -4, -0.25, 0.25, 2, -2, 0.5, -0.5, 3, -3, 1 / 3, -1 / 3}) → slope
  3. Text(If[slope > 0, "-", ""]) → slopeperpsign
  4. FractionText(abs(perpslope)) → slopeperpfraction
  5. FractionText(abs(slope)) → slopefraction
  6. Text(If[slope < 0, "-", ""]) → slopesign
  7. Shuffle(yintsigns) → shuffleyintsigns, {"+", "-"}
  8. Shuffle(choices) → shuffledchoices, {"y=-4x-1", "y=4x+1", "y= \frac{ 1 }{ 4 } x+1", "y=- \frac{ 1 }{ 4 } x-1"}
  9. Append("$\textsf{Choose one}$", shuffledchoices) → userinput
  10. Corner(5) → dims