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AKS 45 Theorems about Triangles

AKS 45 Theorems about Triangles . Warm Up . State 3 ways to determine triangle similarity. 1. AA Similarity Postulate 2. SAS Similarity Theorem 2. SSS Similarity Theorem. Side Splitting Theorem . A line parallel to one side of the triangle divides the other two sides proportionally.

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AKS 45 Theorems about Triangles

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  1. AKS 45 Theorems about Triangles

  2. Warm Up • State 3 ways to determine triangle similarity. • 1. AA Similarity Postulate • 2. SAS Similarity Theorem • 2. SSS Similarity Theorem

  3. Side Splitting Theorem • A line parallel to one side of the triangle divides the other two sides proportionally.

  4. Possible Proportions . . .

  5. Examples . . .

  6. Examples . . .

  7. Two-Transversal Proportionality Corollary • Three or more parallel lines divide two intersecting transversals proportionally.

  8. Corollary illustration . . .

  9. Examples . . . • Solve for x.

  10. Examples . . .

  11. Triangle Angle Bisector Theorem • An angle bisector of a triangle divides the opposite side into two segments whose lengths are proportional to the lengths of the other two sides.

  12. Example:

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