# Construct the Incenter of a Triangle

- Author:
- Megan Milano

Students will be able to construct the incenter and inscribed circle of a triangle ABC.
Then use their construction to find important properties of the incenter.

**Construct the Incenter of ∆ABC. (Fill in the Blank)**Step 1: ______________________________________________________________________________ Step 2: ______________________________________________________________________________ Step 3: ______________________________________________________________________________ Step 4: Find the intersection of the three lines you have created!

**Construct the Inscribed Circle of ∆ABC. (Fill in the Blank)**Step 1: Construct the circle with center at point ___________, and is inscribed in the circle.

**Use the segment tool to connect, (DF) ̅,(DG) ̅,and (DH) ̅.**What do we know about (DF) ̅,(DG) ̅,and (DH) ̅.? ___________________________________________ Take a look! Where is the incenter if ∆ABC is obtuse? Where is the incenter if ∆ABC is acute? Where is the incenter if ∆ABC is scalene? Where is the incenter if ∆ABC is right? Where is the incenter if ∆ABC is isosceles? Where is the incenter if ∆ABC is equilateral?