You need your journal The next section in your journal is called special segments in triangles You have a short quiz

Special Segments in a Triangle

When 3 or more lines, rays, or segments intersect in the same pt When 3 or more lines, rays, or segments intersect in the same pt. this is called the point of concurrency.

Median 3 vertex midpoint A line segment that connects a ___________ to the ____________ of the opposite side. Every triangle has _________medians midpoint 3 Draw the picture

The intersection of all 3 medians is called the ______________ centroid Draw the picture ●

3 bisects Angle Bisector A line segment that ___________ an angle of a triangle. Every triangle has ________angle bisectors 3 Draw the picture

The intersection of all 3 angle bisectors is called _____________ incenter Draw the picture ●

Perpendicular Bisector midpoint A line segment that goes through the ____________ of a side and is _________________to that side. There are _____perpendicular bisectors in a triangle. perpendicular 3 Draw the picture

The point where the 3 perpendicular bisectors meet is called the ________________ circumcenter draw the picture ●

Altitude vertex height 3 A perpendicular segment from its ___________to its opposite side. It is also known as the ___________. There are _____altitudes in a triangle. height 3

The point where the 3 altitudes meet is called the _________________ orthocenter ●

Medians of a Triangle Theorem The medians of a triangle intersect at a point that is ⅔ of the distance from each vertex to the midpoint of the opposite side.

Angle Bisector Theorem: If a pt Angle Bisector Theorem: If a pt. is on the bisector, then it is equidistant from the 2 sides of the angle.

Perpendicular Bisectors Theorem The perpendicular bisectors of a triangle intersect at a point that is equidistant from the vertices of the triangle