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

[b]Construct the Incenter of ∆ABC. (Fill in the Blank) [/b][br]Step 1: Angle Bisector of <ABC[br]Step 2: Angle Bisector of <BAC[br]Step 3: Angle Bisector of <BCA[br]Step 4: Find the intersection of the three lines you have created! Label this point D.[br]This point of intersection is called the _____________________________.[br][br][b]Construct the Perpendicular Line(s) from [/b][br]Step 1: D to line segment AB [br]Step 2: D to line segment BC[br]Step 3: D to line segment AC[br]Label the Point(s) of the intersection, F, G and H[br][br][b]Construct the Inscribed Circle of ∆ABC. (Fill in the Blank)[/b][br]Step 1: Construct the circle with center at point ___________, and is inscribed in the circle. [br][br][b]Use the segment tool to connect, (DF) ̅,(DG) ̅, and (DH) ̅. [br][/b][br][b]Measure the distance from DF, DG, and DH.[/b][br][br]What do we know about (DF) ̅,(DG) ̅,and (DH) ̅.? ___________________________________________[br][br]Take a look! Move the triangle around to answer theses questions.[br]Where is the incenter if ∆ABC is obtuse? [br][br]Where is the incenter if ∆ABC is acute? [br][br]Where is the incenter if ∆ABC is scalene? [br][br]Where is the incenter if ∆ABC is right? [br][br]Where is the incenter if ∆ABC is isosceles? [br][br]Where is the incenter if ∆ABC is equilateral?