Question

am i correct?

Select ALL TRUE statements. A proper Cevian line contains any two points of the given triangle ABC. The interior angle bisectors of an acute triangle are concurrent, therefore the Sojines determined by them are the Chevian lines. Perpendicular bisectors of the sides of a triangle are concurrent and therefore they are Cevian lines. Gergonne point and Nagel point are isotomic conjugates.

Answer 1

1. TRUE: A proper Cevian line contains any two points of the given triangle ABC.

As the two points are one vertices and one point on the opposite side.

2. FALSE:

The interior angle bisectors can be said Cevian lines under a condition if

$mb^2+nc^2=a\left ( mn+d^2 \right )$

3. FALSE:

Perpendicular bisectors of the sides of a triangle can be said Cevian lines under a condition if$b^2+c^2=a\left ( 1+d^2 \right )$

4. TRUE: Gergonne point and Nagel point are isotoic conjugates.