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Triangle Similarity: Angle Angle Recall • Recall the definitions of the following: • Similar • Congruent • Also recall the properties of similarity we discussed yesterday • Corresponding angles in similar figures are congruent • The ratio of corresponding sides in a figure are equal There’s another way • There are other ways to prove figures are similar • Today we are looking at triangle similarity • Mainly involving the angle-angle similarity postulate Angle-Angle similarity postulate • If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar • This postulate allows you to say that two triangles are similar if you know that two pairs of angles are congruent. • You don’t need to compare all of the side lengths and angle measures to show that two triangles are similar. Third Angle Theorem • If two angles in one triangle are congruent to two angles in another triangle, then the third angles must be congruent also. Using the AA similarity postulate • Determine whether the triangles are similar. If they are similar, write a similarity statement. Explain your reasoning. Using the AA similarity postulate • Are you given enough information to show that ∆RST is similar to ∆RUV? Explain your reasoning. Determine whether the triangles are similar. If they are similar, write a similarity statement. Using AA postulate to find the missing side