How can you check if a point is the incenter of a triangle?

Check if the point lies inside the triangle.

Check if one of the angle bisectors passes through the point.

Check if the three segments that bisect the sides pass through the point.

Check if the three segments that bisect the three vertex angles pass through the point.

Question

How can you check if a point is the incenter of a triangle?

Check if the point lies inside the triangle.
		
Check if one of the angle bisectors passes through the point.
		
Check if the three segments that bisect the sides pass through the point.
		
Check if the three segments that bisect the three vertex angles pass through the point.

earthcitizen · Answer

inscribe, escribe and circumscribe the circle to find the centre

earthcitizen · Answer

inscribe, circumscribe and escribe the triangle

anonymous · Answer

Use the midpoints.  I have attached a proof w/o words

anonymous · Answer

The answers are there. Beginning with Check...which one out of the four are correct.

jhonyy9 · Answer

- so i think 3rd is right ,because the incenter point of a triangle is the intersect point of middle lines of sides