HW: Turn in any missing work from 4.6 - 5.1. Test tomorrow over special segments in a triangle.
Students will be able to
1) identify and apply medians (segment from the vertex to the midpoint of the opposite side) of a triangle
2) identify and apply altitudes (segment from the vertex perpendicular to the opposite side) of a triangle3) identify and apply perpendicular bisectors (cuts the side of a triangle into 2 equal parts and forms a right angle) of a triangle
4) identify and apply angle bisectors of a triangle
5) apply the angle bisector theorem (a point on the angle bisector is equidistant from the sides of the angle)
6) be able to identify centroid (point of concurrency of the 3 medians; divides the segment into a 2:1 ratio)and the circumcenter (point of concurrency of the 3 perpendicular bisectors; it is equidistant from the 3 vertices of the triangle.) of a triangle and apply their special characteristics
Bonus material: the orthocenter is the point of concurrency of the 3 altitudes of a triangleThe incenter is the point of concurrency of the 3 angle bisectors of a triangle. The incenter is equidistant from the 3 sides of the triangle.