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5.2 Bisectors of a Triangle5.2 Bisectors of a Triangle
Concurrent linesConcurrent lines
CircumcenterCircumcenter
IncenterIncenter
Definition of a Perpendicular bisector of a triangle
A Perpendicular bisector of a triangle is a perpendicular bisector of a side of a triangle.
a
b
d
Definition of Circumcenter
Concurrent lines are three of more lines that intersect at one point.
When a point is made from perpendicular bisectors it is called the Circumcenter.
The Circumcenter is A point of Concurrency from concurrent lines.
Definition of Circumcenter
When the triangle is acute
Definition of Circumcenter
When the triangle is Obtuse
The Circumcenter can be found by folding
Definition of Circumcenter
When the triangle is a Right triangle.
Where is the
Circumcenter
Definition of Circumcenter
When the triangle is a Right triangle.
Where is the Circumcenter At themidpoint of the hypotenuse.
A Theorem about the Circumcenter
The circumcenter of a triangle is an equal distance from the vertices of the triangle.
Why is the triangle
in a circle?
Definition of the Angle bisector of a Triangle
The angle bisector of a triangle is the bisector of each angle.
The bisectors of the triangle are concurrent rays, meet at a point of concurrency called the incenter.
Definition of Incenter
Incenter is the point of concurrency of the angle bisectors of a triangle.
Theorem about the Incenter
The incenter of a triangle is an equal distance from the sides of the triangle.
The incenter is always inside the triangle
Obtuse Right
HomeworkHomework
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