Question

The first line begins at the bottom-left vertex and passes through a point in the center of the triangle where two small arcs intersect. The second line begins at the right vertex and passes through a different point inside the triangle where two small arcs intersect. A point is plotted where the two lines intersect. The first large arc passes through the top-left side of the triangle and the bottom side of the triangle. Two points are plotted where the arc and the triangle intersect. The second large arc passes through the top-right side of the triangle and the bottom side of the triangle. Two points are plotted where the second arc and the triangle intersect. The point of a compass is on the point where the two lines intersect. The other end of a compass has drawn a third large arc that intersects the bottom side of the triangle in two places, one on each side of the point already plotted at a point of intersection on the bottom side.

What point of intersection is shown in the image?

(1 point)

the incenter

the orthocenter

the centroid

a circumcenter
Remaining Attempts :

Answer 1

the incenter

The two lines are angle bisectors (constructed by the small arcs) and their intersection is the incenter; the compass at that point draws the incircle touching the triangle's sides.