Transformations: Reflection over x-axis and y-axis

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2018-06-14 04:00

In collections Geometry Transformation Maths for 8th Grade Units 1 to 3 Learn with Lindy: Transformations Intro

This example demonstrates reflections over the x-axis and y-axis. Key mathematical concepts include reflection transformations and geometric construction. Using commands like Polygon and Mirror, you can construct symmetric figures about the x-axis and y-axis. Suitable for middle school and above students learning geometric transformations.

GeoGebra Commands & Parameters

Polygon(A, B, C, D, E) → Original, a, b, c, d, e
Mirror(A, xAxis) → A'
Mirror(B, xAxis) → B'
Mirror(C, xAxis) → C'
Mirror(D, xAxis) → D'
Mirror(E, xAxis) → E'
Polygon(A', B', C', D', E') → ReflectXaxis, a', b', c', d', e'
Mirror(A, yAxis) → A'_1
Mirror(B, yAxis) → B'_1
Mirror(C, yAxis) → C'_1
Mirror(D, yAxis) → D'_1
Mirror(E, yAxis) → E'_1
Polygon(A'_1, B'_1, C'_1, D'_1, E'_1) → ReflectYaxis, a'_1, b'_1, c'_1, d'_1, e'_1

AI Drawing Prompt Reference

Draw a pentagon and reflect it over the x-axis and y-axis to obtain two new pentagons, clearly showing the original and the reflected shapes to demonstrate the effect of reflection transformations.

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