Reflect Points across x-axis & y-axis
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This example demonstrates the reflection of points across the x-axis and y-axis. It involves core mathematical concepts such as coordinate transformation, geometric reflection, and vectors. The construction uses GeoGebra commands like Mirror and If, along with objects like A, sx, button1, B, C, sy, A', A'_1, b, text3, button2, scorex, scorey, text1, text2, and a. It is suitable for middle school and above students learning about 2D transformations and coordinate geometry.
GeoGebra Commands & Parameters
Mirror(A, xAxis) → A'Mirror(A, yAxis) → A'_1If(C ≟ A'_1, sy + 1, 0) → bIf(B ≟ A', sx + 1, 0) → a
AI Drawing Prompt Reference
Draw the reflections of point A across the x-axis and y-axis as A' and A'_1. First, reflect point A across the x-axis to get A', then reflect it across the y-axis to get A'_1. Next, set b to sy+1 if C equals A'_1, otherwise set it to 0. Similarly, set a to sx+1 if B equals A', otherwise set it to 0.
The prompt above was compiled from the original drawing commands and is for reference only.