Students describe the effect of dilations on two-dimensional figures in general and using coordinates. Building on prior knowledge of scale drawings, this Topic demonstrates the effect dilation has on a figure when the scale factor is greater than zero but less than one (shrinking of figure), equal to one (congruence), and greater than one (magnification of figure). Once students understand how dilation transforms figures in the plane, they examine the effect that dilation has on points and figures in the coordinate plane.
Beginning with points, students learn the multiplicative effect that dilation has on the coordinates of an ordered pair. Then, students apply the knowledge about points to describe the effect dilation has on figures in the coordinate plane in terms of their coordinates.
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