STANDARD G.SRT.B.4
GEO

Prove and apply similarity theorems about triangles.
• Include multi-step proofs and algebraic problems built upon these concepts.
• Examples of theorems include but are not limited to:
  o If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally (and conversely) .
  o The length of the altitude drawn from the vertex of the right angle of a right triangle to its hypotenuse is the geometric mean between the lengths of the two segments of the hypotenuse.
  o The centroid of the triangle divides each median in the ratio 2:1.