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Similarity and Transformations Section 4.6 Bellwork Graph the polygon and its image after a dilation with scale factor k. 1. X(6, −1), Y(−2, −4), Z(1, 2); k = 3 2. A(0, 5), B(−10, −5), C(5, −5); k = 120% Performing Similarity Transformations A dilation is a transformation that preserves shape but not size. So, a dilation is a nonrigid motion. A similarity transformation is a dilation or a composition of rigid motions and dilations. Two geometric figures are similar figures if and only if there is a similarity transformation that maps one of the figures onto the other. Similar figures have the same shape but not necessarily the same size. Classifying Triangles by Sides and by Angles Recall that a triangle is a polygon with three sides. You can classify triangles by sides and by angles, as shown below. Classifying Triangles by Sides and by Angles Classify the triangular shape of the support beams in the diagram by its sides and by measuring its angles.