Triangle Similarity Postulates
 are triangles that have the same size and shape.Congruent triangles?Similar triangles?have the same shape but different sizes. Similar Triangles?Congruent Triangles? How do we know when triangles are similar?Their corresponding angles have to beTheir corresponding sides have to be25412.52proportional?congruent? The triangles shown are similar. Find the ratio ofthe corresponding sides of the triangles.Simplify to a whole number if possible.37.5612.5231= The triangles shown are similar. Find the ratio ofthe corresponding sides of the triangles.Simplify to a whole number if possible.37.5612.5262= The triangles shown are similar. Find the ratio ofthe corresponding sides of the triangles.Simplify to a whole number if possible.37.5612.527.52.5= These triangles are similar.Solve for x.25x205x = x2Solvex = =5 These triangles are similar.Solve for x.10615x10x =x6Solvex = =10 There are three ways to prove triangles similar. Drag and drop the correct postulate abbreviation. Some drop values will not be used. Side Side SideSide Angle SideAngle AngleSSS?SAS?AA?ASAAASHL Complete the similarity statement. AA Similarity Postulate:If two angles of one triangle are congruent to two anglesof another triangle, the triangles are similar.RTSF∆RST ~ ∆EG The triangles shown in the picture are: ))10congruent by SAScongruent by ASAsimilar by SASsimilar by SSSsimilar by AA5)) The triangles shown in the picture are: 1312congruent by SAScongruent by SSSsimilar by SASsimilar by SSSsimilar by AA551213 The triangles shown in the picture are: 106congruent by SAScongruent by SSSsimilar by SASsimilar by SSSsimilar by AA53 The triangles shown in the picture are: 10)14congruent by SAScongruent by SSSsimilar by SASsimilar by SSSsimilar by AA12576(( SAS Similarity Postulate: If two sides of one triangle are proportional to two sides of another triangle, and the angles between thesides are congruent, then the triangles are similar.Simplify each ratio.8612912 896== 93SSS?46131SAS?2AA?123
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