Distance in the Coordinate Plane (III)
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Expressing Geometric Properties with Equations (GPE) Cluster
This example visually demonstrates that the distance formula in the coordinate plane is often an application of the Pythagorean Theorem. It involves core concepts like distance formula, Pythagorean Theorem, and coordinate geometry. Constructed using commands like Distance, SurdText, Segment, OrthogonalLine, Intersect, Angle, Polygon, and Midpoint. Suitable for high school students learning coordinate geometry to deepen their understanding of the relationship between the distance formula and the Pythagorean Theorem.
GeoGebra Commands & Parameters
Distance(A, B) → aSurdText(a) → text1Segment(B, A) → bOrthogonalLine(B, c) → dIntersect(e, d) → CSegment(B, C) → fSegment(C, A) → gAngle(A, C, B) → αPolygon(B, C, A) → poly1, a_1, b_1, c_1Midpoint(b) → E