Question

Which point is the incenter of ​ △JKL ​ ?

Answer 1

The point N is in the center of triangle JKL

Answer 2

Answer: In-center of the triangle is point N.

Step-by-step explanation:

We are given a triangle △JKL.

In triangle △JKL, they drew perpendicular bisectors of each side of the triangle.

Also we are given angle bisectors of the each of angles in given triangle.

Note: Perpendicular bisector is a line that intersect a segment into two equal parts and also perpendicular to it.

Also note that the in-center is the point forming the origin of a circle inscribed inside the triangle. It is constructed by taking the intersection of the angle bisectors of the three vertices of the triangle.

We can see that angle bisectors are intersecting at a point N.

Therefore, in-center of the triangle is point N.