Circumcenter of a Triangle

The three perpendicular bisectors of a triangle intersect at the ________________.

• circumcenter

• incenter

• centroid

• orthocenter

The circumcenter of a right triangle falls on the____________.

• vertex

• hypotenuse

• vertex

• side

Which two  points of concurrency sometimes falls outside the triangle.

• circumcenter and orthocenter

• centroid and incenter

• centroid and orthocenter

• incenter and circumcenter

Which of these divides a side of a triangle in two equal segments and always form right angles wherever it intersects.

• altitude

• perpendicular bisector

• median

• angle bisector

Which of the following is true for the circumcenter of a triangle?

• It may lie inside, on, or outside the triangle

• It is always inside the triangle

• It is always on one of the triangle's sides

• It is always outside the triangle

Which property is true for the circumcenter of a triangle?

• It is always inside the triangle

• It is equidistant from all three vertices of the triangle

• It divides each median into a 2:1 ratio

• It is the center of the inscribed circle

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

Which of the images represents the Circumcenter of a Triangle

• First

• Second

• Third

The circumcenter of a right triangle is located ______________.

• outside the triangle

• inside the triangle

• on a leg of the traingle

• at the midpoint of the hypotenuse

Tell where the circumcenter is for each of the given triangles?

• inside

• acute triangle

• on

• right triangle

• outside

• obtuse triangle