Circumcenter of Triangles

What is the circumcenter of a triangle?

• The point where the altitudes of the triangle intersect.

• The point where the angle bisectors of the triangle intersect.

• The point where the medians of the triangle intersect.

• The point where the perpendicular bisectors of the sides of the triangle intersect.

Tags

CCSS.HSG.C.A.3

Which of the following is a property of the circumcenter of a triangle?

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

• It is equidistant from the three vertices of the triangle.

• It is the midpoint of the triangle's longest side.

• It is located outside the triangle.

Tags

CCSS.HSG.C.A.3

How many perpendicular bisectors of the sides of a triangle are needed to find the circumcenter?

• 4

• 2

• 3

• 1

Tags

CCSS.HSG.C.A.3

In an acute triangle, where is the circumcenter located?

• On one of the sides of the triangle

• Outside the triangle

• At one of the vertices of the triangle

• Inside the triangle

Tags

CCSS.HSG.C.A.3

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

• inside

• obtuse triangle

• on

• right triangle

• outside

• acute triangle

Tags

CCSS.HSG.C.A.3

The circumcenter of an acute triangle is located _______________ the triangle.

• outside

• inside

• on

• More information is needed

Tags

CCSS.HSG.C.A.3

Point O is the circumcenter of the triangle. Find OB

• OB = 4

• OB = 6

• OB = 5.1

• Not enough information

Tags

CCSS.HSG.C.A.3

How do you construct a circumcenter?

• By finding the intersection point of the medians of the triangle.

• By finding the intersection point of the altitudes of the triangle.

• By finding the intersection point of the perpendicular bisectors of the sides of a triangle.

• By finding the intersection point of the angle bisectors of the triangle.

Tags

CCSS.HSG.C.A.3

Point P is the circumcenter, which segment is equal to PB

• DA

• AC

• PC

• PF

Tags

CCSS.HSG.C.A.3

Where is the circumcenter?

Tags

CCSS.HSG.C.A.3