Points Of Concurrency In Triangles

1. Points of Concurrency in Points of Concurrency in
TrianglesTriangles
MM1G3.eMM1G3.e

2. Point of concurrencyPoint of concurrency - the - the
place where three or more place where three or more
lines, rays, or segments lines, rays, or segments
intersect at the same intersect at the same
pointpoint

3. Angle bisectorAngle bisector – a line or – a line or
ray that divides an angle ray that divides an angle
in halfin half

4. incenterincenter – the point of – the point of
concurrency of the three concurrency of the three
angle bisectors of a angle bisectors of a
triangletriangle

5. altitudealtitude – the – the
perpendicularperpendicular segment segment
from one from one vertexvertex of the of the
triangle to the opposite triangle to the opposite
side or to the line that side or to the line that
contains the opposite sidecontains the opposite side

6. orthocenterorthocenter – the point of – the point of
concurrency of the three concurrency of the three
altitudes of a trianglealtitudes of a triangle

7. Perpendicular bisectorPerpendicular bisector – a – a
segment, ray, or line that segment, ray, or line that
is is perpendicularperpendicular to a to a
segment at its segment at its midpointmidpoint

8. circumcentercircumcenter – the point – the point
of concurrency of the of concurrency of the
three perpendicular three perpendicular
bisectors of a trianglebisectors of a triangle

9. medianmedian – a segment from – a segment from
a a vertexvertex of a triangle to of a triangle to
the the midpointmidpoint of the of the
opposite sideopposite side

10. centroidcentroid – the point of – the point of
concurrency of the three concurrency of the three
medians of a trianglemedians of a triangle

11. 1. What is the difference
between an altitude and a
perpendicular bisector?
2. Classify
Term Starts from the vertexDoesn’t start from
vertex
Angle bisector
Altitude
Perpendicular bisector
Median