Perpendicular Lines and Slope
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This example demonstrates how to draw perpendicular lines and slope using GeoGebra. The key mathematical concepts include slope, perpendicular relationships, and coordinate geometry. Construction involves using commands like PointIn, Line, Mode, Length, Intersect, Angle, and If, along with objects such as a, b, c, d, e, A, B, C, D, f, g, l1, l2, h, text1, i, button1, E, α, text2, text3, c1, c2, text4. It is suitable for middle or high school mathematics education to help students understand geometric relationships between slopes and perpendicular lines, and to explore dynamic graphing techniques in coordinate geometry.
GeoGebra Commands & Parameters
PointIn(e) → APointIn(e) → BPointIn(e) → CPointIn(e) → DLine(A, B) → fLine(C, D) → gMode(l1) → l2Length(l2) → hIntersect(f, g) → EAngle(f, g) → αIf(h ≟ 0, "(1) is true", "(1) is false") → text2If(α ≟ π / 2, "(2) is true", "(2) is false") → text3