# Similar Triangles Geometry ANGLEANGLE SIMILARITY POSTULATE AA If

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Similar Triangles Geometry

ANGLE-ANGLE SIMILARITY POSTULATE (AA~) If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.

SIDE-SIDE (SSS~) SIMILARITY THEOREM If the corresponding sides of two triangles are proportional, then the triangles are similar.

SIDE-ANGLE-SIDE (SAS~) SIMILARITY THEOREM If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are proportional, then the triangles are similar.

Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.

Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.

Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.

Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.

Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.

Example In the figure, ∠ADB is a right angle. Which of the following would not be sufficient to prove that ∆ADB ~ ∆CDB?

Properties of Similarity is Reflexive, Symmetric, and Transitive!