Segments in Triangles Review

Define: CIRCUMCENTER OF A TRAINGLE

• the intersection point of the three perpendicular bisectors of a triangle 
• the intersection point of the three altitudes 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 medians

Tags

CCSS.HSG.C.A.3

Name the point of concurrency shown.

• Circumcenter
• Incenter
• Orthocenter

• Centroid

Tags

CCSS.HSG.C.A.3

Match the following:

• altitudes

• centroid

• angle bisectors

• orthocenter

• perpendicular bisectors

• incenter

• medians

• circumcenter

Tags

CCSS.HSG.C.A.3

The 3 segments intersect at the ___ .

• incenter

• centroid

• orthocenter

• circumcenter

Tags

CCSS.HSG.C.A.3

If segment LJ is an angle bisector,

then ML = ___ .

• MJ

• KJ

• KL

• JL

Tags

CCSS.HSG.CO.C.9

If P is the circumcenter, then PB = ___ .

• DA
• AC
• PC
• PF

Tags

CCSS.HSG.C.A.3

If P is the incenter of triangle JKL,

then OP = ___ .

• 8

• 13

• 17

• It can't be determined.

Tags

CCSS.HSG.C.A.3

Which point is always equidistant from all 3 vertices ?

• Circumcenter
• Incenter
• Centroid

• Orthocenter

Tags

CCSS.HSG.C.A.3

If AG = 10, then BG = ___ .

• 10
• 20
• 5
• It can't be determined.

Tags

CCSS.HSG.C.A.3