Page 5 - AG Unit 2 Capacity, Cavalieri, and Constructions
P. 5
Perpendicular Bisector Angle Bisector Altitude Median
Definition A segment, ray, or line that Divides an angle into two Perpendicular segment Connects each vertex to
is perpendicular to a side of a congruent adjacent angles from a vertex to opposite the midpoint of the
triangle at its midpoint (note that when it is side (up to now, teachers opposite side
extended, it does NOT have called this the
necessarily connect to the “height”.) The height is
midpoint of opposite sides always perpendicular to
unless it is an equilateral the base.
triangle)
Point of Circumcenter Incenter Orthocenter Centroid
concurrency
Relevance to The circumcenter is If a point is on the angle On acute angles, the The median is 2/3 the
measurement equidistant from each vertex bisector it is equidistant orthocenter lies inside the distance from the vertex
of the triangle from each side of the triangle, the orthocenter is to centroid then it is
triangle on the triangle for a right from the other side. It is
can be outside the triangle. triangle, and it outside the always inside the
Always on inside of triangle on an obtuse triangle You can get the
triangle triangle. centroid’s coordinates
by using the average of
You need altitude to the 3 vertices
determine the area of a
triangle
Drawing
