Symmetry and Translation

Loading the math board and drawing, please wait…

2019-04-28 04:30

This example demonstrates symmetry and translation transformations of geometric figures. Core math concepts include symmetry, translation, vectors, and polygons. It uses GeoGebra commands like Vector, Polygon, Line, and Mirror. Suitable for high school mathematics teaching to understand geometric transformations and vector applications.

GeoGebra Commands & Parameters

Vector(L, M) → h
Vector(L, N) → i
Vector(L, O) → j
Vector(L, P) → k
Polygon(A, B, C, D, E, F) → poly1, d, b, c, e, f, a_1
Line(G, H) → g
Mirror(A, g) → D'
Mirror(B, g) → B'
Mirror(C, g) → C'
Mirror(D, g) → E'
Mirror(E, g) → F'
Mirror(F, g) → A'
Polygon(D', B', C', E', F', A') → poly1', d', b', c', e', f', a'

AI Drawing Prompt Reference

Draw a hexagon ABCDEF and its mirror image A'B'C'D'E'F' with respect to line g. First, draw the hexagon ABCDEF, then draw line g, and finally mirror points A, B, C, D, E, F to get A', B', C', D', E', F'.

The prompt above was compiled from the original drawing commands and is for reference only.