The student, given a polygon in the coordinate plane, will represent transformations (reflections, dilations, rotations, and translations) by graphing in the coordinate plane.
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A translation of a figure on a wallpaper pattern shows the same figure slid the same distance in the same direction; and
A reflection of a boat in water shows an image of the boat flipped upside down with the water line being the line of reflection;
A dilation of a model airplane is the production model of the airplane.
Sketch the image of a polygon that has been translated and reflected over the x- or y-axis, or reflected over the x- or y-axis and then translated. (a)
The result of first translating and then reflecting over the 𝑥- or 𝑦-axis may not result in the same transformation of reflecting over the 𝑥- or 𝑦-axis and then translating.