Subject: Geometry Proof
Hi. My name is Melissa. My question is from a college geometry class and I am a student.
Here's my question:
Extend the bisectors of angle A, angle B, and angle C of triangle ABC to meet the circumcircle at points X, Y, and Z respectively. Show that I is the orthocenter of triangle XYZ.
HINT: Show that XY is the perpendicular bisector of IC.
I know that I is the incenter of triangle ABC. I wrote down all kinds of things about angles and segments and I can't figure out how to do it. I know that it must have something to do with the incenter and the incircle.
I would appreciate any help that you could give me. If you can't help me, do you know of a person or place that can?
Thank you. I'm desperate!
Break the problem down into small steps: