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.

Option A is the correct answer

Step-by-step 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.

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)