Question

Which of the following is the Triangle Proportionality Theorem?

A) A line parallel to one side of a triangle divides the other two sides proportionally.
B) A line perpendicular to one side of a quadrilateral divides the other three sides proportionally.
C)A line perpendicular to one side of a triangle divides the other two sides proportionally.
D) A line parallel to one side of a quadrilateral divides the other three sides proportionally.

Answer 1

A a line parallel to one side of a triangle divides the other two sides

Answer 2

Option A is the correct answer

Explanation:

We are required to determine which of the options represents the 'Triangle Proportionality Theorem'.

As, we know,

Triangle Proportionality Theorem states that,

'If a line which is parallel to one side of a triangle intersects both the other two sides of the triangle, then it divides the other two sides into equal proportions'.

So, according to the options, we get that,

A) A line parallel to one side of a triangle divides the other two sides proportionally

represents the Triangle Proportionality Theorem.