GEOMETRY-- Which of the following is not part of the triangle proportionality theorem?

A. A perpendicular line to one side of a triangle.
B. Two sides divided proportionally.
C. A parallel line to one side of a triangle.
D. AA Similarity Theorem.

Respuesta :

A. A perpendicular line to one side of the triangle.

A perpendicular line to one side of a triangle, this is nowhere used in triangle proportionality theorem.

What is Triangle proportionality theorem?

If you draw a line parallel to one of the triangle's sides, it will meet the other two sides and divide the remaining two sides proportionally, according to the triangle proportionality theorem.

What is AA similarity theorem?

  • If two pairs of matching angles in two triangles are congruent, the triangles are similar.
  • The triangular proportionality theorem is used to prove the AA similarity theorem.

Hence, a perpendicular line to one side of a triangle is nowhere used in triangle proportionality theorem.

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