[b]Reflection Exploration[/b][br][br]Use the applet below to explore the properties of reflecting a polygon over different lines on the coordinate plane.[br][br][img]data:image/png;base64,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[/img]

1) How far are the vertices of the original polygon from the x-axis? When you reflect the polygon over the x-axis, how far are the new vertices from the x-axis? How do this distances compare?[br][br]How do the x-coordinates of the new vertices compare with the x-coordinates of the original vertices? How about the y-coordinates?[br][br]2) How far are the vertices of the original polygon from the y-axis? When you reflect the polygon over the y-axis, how far are the new vertices from the y-axis? How do this distances compare?[br][br]How do the x-coordinates of the new vertices compare with the x-coordinates of the original vertices? How about the y-coordinates?[br][br]3) If you reflect the polygon over the horizontal line y=4, how do the coordinates change? How is this similar to reflecting over the x-axis? How is it different from reflecting over the x-axis?[br][br]4) Make a prediction about where the new image of the polygon will be located if you reflect it over the vertical line x=5. Test your prediction. Was your prediction correct? If it was not, why was your prediction incorrect?[br][br]5) If you reflect the polygon over the diagonal line y=x, how is this similar to reflecting over a horizontal or vertical line? How is it different?