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Presentation transcript:

Please get a warm up and begin working

Special Parts of Triangles Please get: Cheat for special segments and lines in triangles Scissors YOUR compass Straight edge A piece of cardstock YOUR pencil Six (or so) pieces of patty paper Cut and paste the cheat into your notebook

The incenters are ALWAYS in the ‘middle’ of the triangle. Inscribed circle is inside a triangle. The center of the circle is called the incenter and is the intersection of the triangle’s angle bisectors. The incenters are ALWAYS in the ‘middle’ of the triangle. The circle touches each SIDE of the triangle.

Now, we’re going to create perpendicular bisectors in a triangle.

Circumscribed circle is outside of a triangle Circumscribed circle is outside of a triangle. The center of the circle is called the circumcenter and is the intersection of the triangle’s perpendicular bisectors. The circumcenter of an acute triangle is inside, in a right triangle it is on the side, and in an obtuse triangle it is outside. The circle touches each VERTEX of the triangle.

Concurrency of medians The medians of a triangle are concurrent at the CENTROID which is two-thirds the distance from each vertex to the midpoint of the opposite side. The centroid is the center of gravity of the triangle. Interactive medians 1/3 EB 2/3 EB

Concurrency of Altitudes The altitudes are concurrent at the orthocenter of the triangle. The orthocenter is inside an acute triangle, on a right triangle, or outside of an obtuse triangle. Interactive altitudes

Assignment Pg 305; 14-23, 26-29 Pg 313; 17-28, 37-38