Center of Triangle

The place where all three perpendicular bisectors meet is called the ...

• Circumcenter

• Orthocenter

• Incenter

• Centroid

The place where all three altitudes meet is called the ...

• Circumcenter

• Orthocenter

• Incenter

• Centroid

The place where all three medians meet is called the ...

• Circumcenter

• Orthocenter

• Incenter

• Centroid

The place where all three angle bisectors meet is called the ...

• Circumcenter

• Orthocenter

• Incenter

• Centroid

Which statement is true regarding the incenter of a triangle?

• It is the intersection point of the triangle's medians

• It is the intersection point of the triangle's perpendicular bisectors

• It is the intersection point of the triangle's angle bisectors

• It is the intersection point of the triangle's altitudes

The centroid of a triangle is known to:

• Always lie on the circumcircle

• Act as the center of gravity for the triangle

• Be equidistant from the sides of the triangle

• Always lie outside the triangle

Which construction would be most helpful to begin his construction if Micah wants to find a point that is equidistant from the three vertices of a triangle?

• Construction A

• Construction B

• Construction C

• Construction D

The incenter of a triangle is the center of which circle?

• Circumcircle

• Incircle

• Excircle

• Nine-point circle

How would you construct the circumcenter of a triangle?

• Construct at least two perpendicular bisectors.

• Construct at least two angle bisectors

• Construct two tangent lines

• Construct congruent radii

In order to construct the incenter of a triangle, you must construct ________________________.

• the perpendicular bisectors of two sides of the triangle

• the angle bisectors of two angles of the triangle

• the midpoints of all three sides of the triangle

• lines parallel to two sides of the triangle that pass through the vertices opposite those sides