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.

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph

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step-by-step explanation: