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S ECTIONS 6.4 & 6.5 – P ROVING S IMILAR T RIANGLES HW #27 Pg. 384 #10, 12, 14, 16, 20 Pg. 392 #6, 28

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AA S IMILARITY P OSTULATE If two angles of one triangle are congruent to two angles in another triangle, then the two triangles are similar.

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SSS S IMILARITY T HEOREM If the corresponding side lengths of two triangles are proportional, then the triangles are similar.

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SAS S IMILARITY T HEOREM 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.

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E XAMPLE Determine if the two triangles are similar. If they are, write a similarity statement.

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E XAMPLES Justify that the two triangles are similar.

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E XAMPLE

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U SING S IMILARITY

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Proving Side-Side-Side. Proving Side-Angle-Side Create a 55 ° angle. Its two sides should be 3.5 and 5 inches long. Enclose your angle to make a triangle.

Proving Side-Side-Side. Proving Side-Angle-Side Create a 55 ° angle. Its two sides should be 3.5 and 5 inches long. Enclose your angle to make a triangle.

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