. Grade 8, Illustrative icon

Effects of Dilations on Length, Area, and Angles

Illustrative MathematicsVaries

The purpose of this task is for students to study the impact of dilations on different measurements: segment lengths, area, and angle measure. When a triangle is dilated by scale factor s>0, the base and height change by the scale factor s while the area changes by a factor of s^2: as seen in the examples presented here, this is true regardless of the center of dilation. While they scale distances between points, dilations do not change angles. While x and y coordinates have not been given to the vertices of the triangle, the coordinate grid serves the same purpose for the given centers of dilation.

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