Invariance of a Triangle's Area

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2016-06-26 20:13

Triangle Coordinate Geometry

This example demonstrates the invariance of a triangle's area under translation. Key math concepts include area formula, translation transformation, and coordinate geometry. Constructed using commands like Segment, Line, Point, Intersect, Polygon in GeoGebra. Suitable for high school students to understand the properties of geometric transformations, ideal for classroom instruction or homework practice.

GeoGebra Commands & Parameters

Segment(A, B) → f
Line(C, f) → k
Point(k) → C_1
Point(k) → C_2
Segment(C_1, B) → h
Segment(C_2, A) → i
Intersect(h, i) → E
Polygon(C_1, A, E) → S_1, e, c_1, a
Polygon(C_2, B, E) → S_2, e_1, c_2, b
Line(A, B) → l