Download Construction: Constructing the Incenter Use these steps to construct

Construction:
Constructing the Incenter
Use these steps to construct the incenter of the given triangle (∆ABC).
1) Construct the angle bisector of one angle (A).
a) Place the compass point on A.
b) Draw an arc that intersects both sides of A. Label points D and E.
c) Place the compass point on D and draw an arc.
d) Repeat the procedure from point E.
e) Where the two arcs intersect (point F), connect this point with A. Now ray AF is
an angle bisector of A.
B
C
A
2) Construct the angle bisectors of the other two angles: B and C. Repeat steps a)
through e).
3) Where the 3 angle bisectors intersect is the incenter. Mark this point Y.
4) Construct the perpendicular from Y (the incenter) to one of the sides of the triangle.
This perpendicular segment is the radius of the inscribed circle.
5) Place the compass point on Y and the pencil where the perpendicular intersects the
side of the triangle. Create the circle. It should intersect each side once.
Practice finding the incenter and its inscribed circle within each given triangle.
H
G
J
Y
Z
X
A
B
C