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For the Board: You will be able to prove triangles are similar by using AA, SSS, and SAS. Anticipatory Set: According to the definition of Similar Figures, Theorem 47.2 (AA Test). If two angles of one triangle are congruent with the corresponding two angles of another triangle, then the two triangles are similar. ARCHITECTURE On a blueprint, a diagonal brace forms similar triangles RST and WXY. If ST. 9 ft and XY. 12 ft, what is the ratio of the perimeter of RST to the The triangle below is similar to the triangles above but because it is a different size it is Consider first the triangle DEF:. equal angles are in the same ratio (or proportional) and hence the two triangles are similar. Sol: Given: In triangles ABC and DEF.A.2 Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity. Mathematics Secondary Course. 359. Similarity of Triangles. Notes. MODULE - 3. Geometry. (iv) Two squares of different sides are similar but not congruent. 6.3 Similarity of Triangles​​ That is: Two triangles are similiar, if (i) their corresponding angles are equal and (ii) their corresponding sides are in the same Definition of Similar Figures. Two figures are similar if one angles of another triangle, then the triangles are similar. In Figure 3, AABC is similar