![]() ![]() ![]() The line of reflection can be any arbitrary line, but it is often a vertical or horizontal line, and often is the x-axis or y-axis. Reflection is a type of translation that changes coordinates of a shape by “flipping” a shape over a line. Simultaneous translation can happen in both the x-axis and y-axis to move the shape diagonally or “along a line.”Īfter a translation, the new shape will be congruent to the original and retain the same orientation. Similarly, translation along the y-axis involves adding or subtracting a constant value to the every y coordinate to effect a change in vertical position. Translation along the x-axis involves adding or subtracting a constant value to the every x coordinate in the shape be transformed, which effectively moves the shape horizontally. ![]() This is essentially moving (or “sliding”) the shape as-is from one position to another. The simplest type of transformation is translation. Different types of translations have different names that transforms the points consistently in different ways discussed below. Writing New Coordinates V4 What are Geometric Transformations?Ī geoemtric transformation occurs when a system of points (perhaps one point, perhaps a line made up of two points, or perhaps a polygon consisting of multiple points) plotted in a coordinate system is modified in a consistent way. ![]()
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