Segments and Centers of Triangles

Segment from the vertex that is perpendicular to the opposite side?

• Circumcenter

• Incenter

• Centroid

• Orthocenter

Perpendicular bisector of two sides of a triangle

• Circumcenter

• Incenter

• Centroid

• Altitude

Match the following

• Altitude

• Incenter

• Angle Bisector

• Centroid

• Median

• Circumcenter

• Perpendicular Bisector

• Orthocenter

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 

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 

Which point is equidistant from the sides?

• Circumcenter

• Incenter

• Orthocenter

• Centroid

P is the incenter of triangle JKL. Find ML.

Hint: you will have to use pythagorean theorem

• 8.95

• 9.35

• 10.25

• 12.65

The CENTROID is the intersection of which special segments?

• Angle Bisectors

• Perpendicular Bisectors

• Medians

• Altitudes

The ORTHOCENTER is the intersection of which special segments?

• Angle Bisectors

• Perpendicular Bisectors

• Medians

• Altitudes

The INCENTER is the intersection of which special segments?

• Angle Bisectors

• Perpendicular Bisectors

• Medians

• Altitudes