Copy of Construct the Incenter of a Triangle
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: Angle Bisector of <ABC
Step 2: Angle Bisector of <BAC
Step 3: Angle Bisector of <BCA
Step 4: Find the intersection of the three lines you have created! Label this point D.
This point of intersection is called the _____________________________.
Construct the Perpendicular Line(s) from
Step 1: D to line segment AB
Step 2: D to line segment BC
Step 3: D to line segment AC
Label the Point(s) of the intersection, F, G and H
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) ̅.
Measure the distance from DF, DG, and DH.
What do we know about (DF) ̅,(DG) ̅,and (DH) ̅.? ___________________________________________
Take a look! Move the triangle around to answer theses questions.
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?