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(AA, SSS, SAS)

Proving Triangles Similar. (AA, SSS, SAS). AA Similarity (Angle-Angle). If 2 angles of one triangle are congruent to 2 angles of another triangle, then the triangles are similar. Given:. and. Conclusion:. 5. 10. 16. 8. 11. 22. SSS Similarity (Side-Side-Side).

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(AA, SSS, SAS)

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  1. Proving Triangles Similar (AA, SSS, SAS)

  2. AA Similarity (Angle-Angle) If 2 angles of one triangle are congruent to 2 angles of another triangle, then the triangles are similar. Given: and Conclusion:

  3. 5 10 16 8 11 22 SSS Similarity (Side-Side-Side) If the measures of the corresponding sides of 2 triangles are proportional, then the triangles are similar. Given: Conclusion:

  4. 5 10 11 22 SAS Similarity (Side-Angle-Side) If the measures of 2 sides of a triangle are proportional to the measures of 2 corresponding sides of another triangle and the angles between them are congruent, then the triangles are similar. Given: Conclusion:

  5. G D C E F Example: Show that the two triangles are similar. 1. 2.

  6. Example: Which triangle is similar to triangle XYZ? Q 35 21 Y 20 P 15 R 30 X Z 30 42 U S 21 35 T

  7. Example: Find the value of x that makes triangle XYZ similar to triangle PQR Q Y 20 x+6 30 21 X Z 12 P R 3(x - 2)

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