Geometry Bisectors of Triangles

Point of Concurrency

• In a triangle, a line, segment, or ray that passes through the midpoint of a side and is perpendicular to that side

• Three or more lines that intersect at a common point.

• The point of intersection of concurrent lines

• The point of concurrency of the perpendicular bisectors of a triangle.

• The point of concurrency of the angle bisectors of a triangle.

Tags

CCSS.HSG.CO.C.10

3 or more lines that intersect at the same point

• Concurrent Lines
• Congruent Lines
• Perpendicular Lines
• Parallel Lines

Circumcenter and Incenter are these of a triangle

• centers
• vertices
• perpendicular bisectors
• angle bisectors

Tags

CCSS.HSG.C.A.3

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.4

Define: CIRCUMCENTER OF A TRAINGLE

• the intersection point of the three perpendicular bisectors of a triangle 
• when a circle passes through the three vertices of a triangle 
• the point of intersection of three or more lines 
• the intersection point of the three angle bisectors of a triangle 

Tags

CCSS.HSG.C.A.3

Define: INCENTER OF A TRIANGLE

• the intersection point of the three angle bisectors of a triangle 
• when three or more lines intersect at a single point 
• the intersection point of the three perpendicular bisectors of a triangle 
• the point of intersection of three or more lines 

Tags

CCSS.HSG.C.A.3

Which of the images represents the Circumcenter of a Triangle

• First
• Second
• Third

Tags

CCSS.HSG.C.A.3

CCSS.HSG.CO.D.12

Which of the images represents the Incenter of a Triangle

• First
• Second
• Third

Tags

CCSS.HSG.C.A.3

Name the point of concurrency shown.

• Circumcenter
• Incenter
• Supercenter
• Neither

Tags

CCSS.HSG.C.A.2

CCSS.HSG.C.A.3

Name the point of concurrency shown.

• Circumcenter
• Incenter
• Supercenter
• Neither

Tags

CCSS.HSG.C.A.2

CCSS.HSG.C.A.3

The figure is an example of a(n) ...

• angle bisector
• perpendicular bisector
• median
• midsegment

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9