Lines Perpendicular to the Same Line but Not Parallel
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This example demonstrates two lines that are perpendicular to the same line but not parallel. The core mathematical concepts include perpendicular lines and point construction in coordinate geometry. Using GeoGebra commands such as Line, OrthogonalLine, Point, Intersect, and Angle, you can construct two lines that are perpendicular to the same line but not parallel. Suitable for students at the junior high school level and above for learning coordinate geometry.
GeoGebra Commands & Parameters
Line(A, B) → fOrthogonalLine(C, f, space) → gOrthogonalLine(D, f, space) → hPoint(h) → EPoint(g) → FIntersect(f, g) → GIntersect(f, h) → HAngle(C, G, A) → αAngle(E, H, B) → β