Special Segments and Centers

A segment that joins the midpoints of two sides of a triangle

• median

• angle bisector

• incenter

• midsegment

A line, segment, or ray that divides a segment into two equal parts and is perpendicular to the segment

• perpendicular bisector

• median

• incenter

• orthocenter

A segment that connects a vertex of a triangle to the midpoint of the opposite side.

• perpendicular bisector

• median

• altitude

• centroid

A segment that connects a vertex of a triangle to the opposite side so that it is perpendicular to that side

• median

• altitude

• incenter

• centroid

 The incenter of a triangle is the point of concurrency of the ​ (a)   of a triangle.

 The circumcenter of a triangle is the point of concurrency of the ​ (b)   of a triangle.

 The centroid of a triangle is the point of concurrency of the ​ (c)   of a triangle.

The orthocenter of a triangle is the point of concurrency of the ​ ​ (d)   of a triangle.

• angle bisectors

• perpendicular bisectors of each side

• medians

• altitudes

Tags

CCSS.HSG.C.A.3

What special segments are drawn in the large triangle?

• Median

• Altitude

• Perpendicular Bisector

• Angle Bisector

Tags

CCSS.HSG.CO.C.10

Based on the markings, segment BG represents the...

• angle bisector

• median

• altitude

• perpendicular bisector

Tags

CCSS.HSG.CO.C.10

Identify the center.

• Circumcenter

• Incenter

• Centroid

• Orthocenter

Tags

CCSS.HSG.C.A.3

Which triangle center is shown?

Tags

CCSS.HSG.C.A.3

Which of the following words describes the point shown in the figure?

• Centerpoint

• Orthocenter

• Centroid

• Altitude-point

Tags

CCSS.HSG.CO.C.10