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8-3 Proving Triangles Similar M11.C.1 2.9.11.B
Objectives: To use and apply AA, SAS and SSS similarity statements.
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Angle-Angle Similarity Postulate (AA~)
If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. △TRS ~△PLM
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Example (AA~) Explain why the triangles are similar
What is the similarity statement?
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Side-Angle-Side Similarity Theorem
If an angle of one triangle is congruent to an angle of a second triangle, and the sides including the two angles are proportional, then the triangles are similar.
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Example Are the triangles similar by (SAS~)? Explain.
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Side-Side-Side Similarity Theorem (SSS~)
If the corresponding sides of two triangles are proportional, then the triangles are similar. Side-Side-Side Similarity Theorem (SSS~)
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Example: SSS~ Are the triangles similar using the SSS Similarity Theorem?
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Finding Lengths in Similar Triangles
Find DE and show triangles are similar.
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