Transformations with GeoGebra

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2019-05-27 15:05

In collections Learn Geometry

This example demonstrates how to rotate, translate, and reflect objects using GeoGebra. It involves core math concepts like 2D vectors and geometric transformations. Construction highlights include commands like Polygon, Segment, Mirror, Rotate, Vector, Translate, and objects such as points A, B, C, D, E, F, G, H, I, J, and polygon poly1. Suitable for middle school and above students to learn and understand the properties and applications of geometric transformations.

GeoGebra Commands & Parameters

Polygon(A, B, C, D, E, F, G, H, I, J) → poly1, a, j, b, c, d, e, f, g, h, i
Segment(K, L) → k
Mirror(A, k) → A'
Mirror(B, k) → B'
Mirror(C, k) → C'
Mirror(D, k) → D'
Mirror(E, k) → E'
Mirror(F, k) → F'
Mirror(G, k) → G'
Mirror(H, k) → H'
Mirror(I, k) → I'
Mirror(J, k) → J'
Polygon(A', B', C', D', E', F', G', H', I', J') → poly1', a', j', b', c', d', e', f', g', h', i'
Rotate(A', (-(45°)), M) → A''
Rotate(B', (-(45°)), M) → B''
Rotate(C', (-(45°)), M) → C''
Rotate(D', (-(45°)), M) → D''
Rotate(E', (-(45°)), M) → E''
Rotate(F', (-(45°)), M) → F''
Rotate(G', (-(45°)), M) → G''
Rotate(H', (-(45°)), M) → H''
Rotate(I', (-(45°)), M) → I''
Rotate(J', (-(45°)), M) → J''
Polygon(A'', B'', C'', D'', E'', F'', G'', H'', I'', J'') → poly1'', a'', j'', b'', c'', d'', e'', f'', g'', h'', i''
Vector(N, O) → u
Translate(A'', u) → A'''
Translate(B'', u) → B'''
Translate(C'', u) → C'''
Translate(D'', u) → D'''
Translate(E'', u) → E'''
Translate(F'', u) → F'''
Translate(G'', u) → G'''
Translate(H'', u) → H'''
Translate(I'', u) → I'''
Translate(J'', u) → J'''
Polygon(A''', B''', C''', D''', E''', F''', G''', H''', I''', J''') → poly1''', a''', j''', b''', c''', d''', e''', f''', g''', h''', i'''