Verify criteria for showing triangles are similar using a similarity transformation (sequence of rigid motions and dilations) that maps one triangle to another.

G.28.aVerify that two triangles are similar if and only if corresponding pairs of sides are proportional and corresponding pairs of angles are congruent.G.28.bVerify that two triangles are similar if (but not only if) two pairs of corresponding angles are congruent (AA), the corresponding sides are proportional (SSS), or two pairs of corresponding sides are proportional and the pair of included angles is congruent (SAS).
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