Question

Which of the following is not part of the Converse of the Triangle Proportionality Theorem?

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

Answer 1

Option: A is the answer.

( A. A perpendicular line to one side of a triangle )

Explanation:

The converse of proportionality theorem states that:

" If a line divides two sides of a triangle proportionally, then that line is parallel to the third side "

Hence we are asked to find which statement is not a part of the Converse of Triangle Proportionality theorem.

The statement is:

" A perpendicular line to one side of a triangle "

Hence option A is the answer.

Answer 2

The correct answer is:

A) A perpendicular line to one side of a triangle.

Explanation:

The converse of the triangle proportionality theorem states "If a line divides two sides of a triangle proportionally, then that line is parallel to the third side."

The AA similarity theorem is part of this, as we are looking at the ratios of the sides.
Proportionality of the sides is part of this, as it is stated in the converse.
A parallel line to one side of a triangle is part of this, again as it is stated in the converse.