Proving Triangles Congruent (II)

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2016-07-28 11:02

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This example demonstrates how to prove triangles congruent using transformational geometry. Key math concepts involved include congruence, reflection, rotation, translation, and geometric transformations. Construction highlights the use of GeoGebra commands and objects such as Polygon, Rotate, Vector, Translate, Segment, and Mirror. Suitable for high school students and teachers learning about geometric transformations and triangle congruence.

GeoGebra Commands & Parameters

Polygon(A, B, C) → poly1, c, a, b
Rotate(A, α, D) → A'
Rotate(B, α, D) → B'
Rotate(C, α, D) → C'
Polygon(A', B', C') → poly1', c', a', b'
Vector(E, F) → u
Translate(A', u) → A''
Translate(B', u) → B''
Translate(C', u) → C''
Polygon(A'', B'', C'') → poly1'', c'', a'', b''
Segment(A'', C'') → f
Mirror(A'', b'') → A'''
Mirror(B'', b'') → B'''
Mirror(C'', b'') → C'''
Polygon(A''', B''', C''') → poly1''', c''', a''', b'''