Centers of a Triangle

The centroid is the point of concurrency of the 3 ____ of a triangle.

• Medians

• Altitudes

• Perpendicular Bisectors

• Angle Bisectos

Tags

CCSS.HSG.CO.C.10

The point of concurrency of the 3 perpendicular bisectors of a triangle is called the ___?

• Orthocenter

• Incenter

• Circumcenter

• Centriod

Tags

CCSS.HSG.C.A.3

Which point of concurrency is the intersection of the angle bisectors of a triangle?

• centroid

• incenter

• orthocenter

• circumcenter

Tags

CCSS.HSG.C.A.3

Which of the following statements is correct about the circumcenter of a triangle?

• It's the intersection of the bisectors of the triangle's three angles AND

  is equidistant from the triangle's three vertices

• It's the intersection of the bisectors of the triangle's three angles AND

  is equidistant from the triangle's three sides

• It's the intersection of the perpendicular bisectors of the triangle's three sides AND

  is equidistant from the triangle's three vertices

• It's the intersection of the altitudes of the triangle's three sides AND

  is equidistant from the triangle's three vertices

Tags

CCSS.HSG.C.A.3

Which of the following statements is correct about the incenter of a triangle?

• It's the intersection of the bisectors of the triangle's three angles AND

  is equidistant from the triangle's three vertices

• It's the intersection of the bisectors of the triangle's three angles AND

  is equidistant from the triangle's three sides

• It's the intersection of the perpendicular bisectors of the triangle's three sides AND

  is equidistant from the triangle's three vertices

• It's the intersection of the altitudes of the triangle's three sides AND

  is equidistant from the triangle's three vertices

Tags

CCSS.HSG.C.A.3

The centroid cuts each median into two segments.  The shorter segment is ___________ the length of the entire segment.

• one third
• two thirds
• three fourths
• one half

Tags

CCSS.HSG.CO.C.10

If Z is the centroid, what type of segments are drawn?

• angle bisectors
• perpendicular bisectors
• altitudes
• medians

Tags

CCSS.HSG.CO.C.10

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

• angle bisector

• perpendicular bisector

• median

• altitude

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

• angle bisector

• perpendicular bisector

• altitude

• median

Tags

CCSS.HSG.CO.C.10

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

• altitude

• perpendicular bisector

• median

• angle bisector