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Similar Triangles

Delve into the world of triangle similarity shortcuts, comparing their uniqueness to congruence shortcuts, and understanding the relevance of angles and sides. Discover the significance of SAS, SSS, ASA, and SAA criteria in determining triangle similarity.

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Similar Triangles

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  1. Similar Triangles Section 11-2

  2. In lesson 11-1 you concluded that you must know about both the angles and the sides of two quadrilaterals in order to make a valid conclusion about their similarity. • However, triangles are unique. Recall that earlier in the textbook you found there were 4 shortcuts for triangle congruence: SSS, SAS, ASA, and SAA. • Are there shortcuts for similarity also?

  3. Suppose two triangles had one corresponding angle congruent. Would the triangles be similar?

  4. Is AA a Similarity Shortcut?

  5. From the second step in the investigation you see there is no need to check AAA, ASA, or SAA similarity conjectures. • Because of the Triangle Sum Conjecture and the Third Angle Conjecture AA Similarity Conjecture is all you need.

  6. Is SSS a Similarity Shortcut?

  7. So SSS, AAA, ASA and SAA are shortcuts for triangle similarity.

  8. Is SAS a Similarity Shortcut?

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