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?