Relationships in Triangles
A segment, Ray, or line that makes a 90 degree angle to a segment at it s midpoint
Perpendicular Bisector
Where the perpendicular bisector intersects a segment
Its Midpoint
Where three perpendicular bisectors of a triangle intersect
Circumcenter
Where three angle bisectors of a triangle intersect
Incenter
A ray that divides an angle into two congruent angles
Angle Bisector
Where the angle bisector intersects an angle
its vertex or angle
The Circumcenter is ___________ from all the angles of a triangle.
Equidistant
The Incenter is _________ from the sides of the a triangle
Equidistant
When three or more lines intersect at the same point
Concurrent Lines
Length of Segment NL, if NJ = 14
Use Picture 2
NL = 28
Circumcenter theorem says that these bisectors are congruent
Angle bisectors
Incenter theorem says that these bisectors are congruent
Perpendicular Bisectors
Where concurrent lines intersect
Point of Concurrency
What does an angle bisector do to an angle
Cut into congruent parts
What is the length of Segment BC, if TC has a length of 15?
Use picture 1
30
What is the measure of angle C, if Angle TPC is 55 degrees?
Use picture 1
70 degrees
What is needed to prove that Point M is on the perpendicular bisector JK
Use picture 2
MN = ML
Length of segment LK if LK = 5x-2 and NK =12x+12.
Use picture 2
LK = -12
Segment BP is congruent to which segments.
Use picture 1.
CP and AP
Segment PR is congruent to which segments.
Use picture 1
PS and PT