Cutting lines at a point?

Geometry Level 3

Which of the statements is/are correct?

In a triangle Δ A B C \Delta ABC , D , E , F D,E,F are on line B C , A C , A B BC,AC,AB . A D , B E , C F AD,BE,CF will meet at the same point if each line cuts the triangle into two parts such that

A: they have the same perimeter.

B: they have the same area.

A and B B only none of above A only

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