Download Angle-Angle (AA) Similarity Postulate

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CHAPTER
B.4 AND 8.5 SIMILAR TRIANGLEs
PROVING THAT TWO TRIANGLES ARE SIMILAR
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Angle-Angle (AA) Similarity Postulate - If two angles of one
triangle are CONGRUENT to two angles of another triangle,
then the ~o triangles are similar.
Why do you NOT need to state that the third pair of
angles is congruent when proving the triangles are similar?
Side-Side-Side (SSS) Similarity Theorem - If the
lengths of the corresponding sides of two triangles are
PROPORTIONAL, then the triangles are similar.
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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 the~e
angles are proportional, then the triangles are similar.
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Examples
Name a postulate or theorem that can be used to prove that the two triangles are similar. Then
write a similarity statement.
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GEOMETRY .
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Similar Triangles Practice
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Directions: Determine whether the triangles are simlilarl If yes, state which postulate or
theorem was used, write a similarity statement, and solve for the variable.
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