Constructing the incenter of a triangle with compass and straightedge

(For assistance see www.mathopenref.com/constincenter.html)

1. Construct the incenter of the triangle below.

2. (a) Construct the incenter of both the triangles below.

(b) Draw a line between the two incenters. What do you notice about the line? Explain why this is.

(b) Draw a line between the two incenters. What do you notice about the line? Explain why this is.

(C) Copyright John Page 2007