GEOMETRY Bisectors in Triangles 11.13.24

Front

What is the point of concurrency where the three angle bisectors of a triangle intersect?

Back

Incenter

Tags

CCSS.HSG.C.A.3

Front

What is the circumcenter of a triangle?

Back

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

Tags

CCSS.HSG.C.A.3

Front

What is the relationship between the circumcenter and the vertices of a triangle?

Back

The circumcenter is equidistant from all three vertices of the triangle.

Tags

CCSS.HSG.C.A.3

Front

Define the term 'incenter' in the context of triangles.

Back

The incenter is the point where the three angle bisectors of a triangle intersect.

Tags

CCSS.HSG.C.A.3

Front

What is the circumradius of a triangle?

Back

The circumradius is the radius of the circumcircle, which passes through all three vertices of the triangle.

Tags

CCSS.HSG.C.A.3

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians of a triangle intersect.

Tags

CCSS.HSG.CO.C.10

Front

How is the orthocenter of a triangle defined?

Back

The orthocenter is the point where the three altitudes of a triangle intersect.

Tags

CCSS.HSG.C.A.3

Front

What is the relationship between the incenter and the sides of a triangle?

Back

The incenter is equidistant from all three sides of the triangle.

Tags

CCSS.HSG.C.A.3

Front

What is the significance of the circumcenter in triangle construction?

Back

The circumcenter can be used to construct the circumcircle of the triangle.

Tags

CCSS.HSG.C.A.3

Front

What is the difference between the incenter and circumcenter of a triangle?

Back

The incenter is the intersection of angle bisectors, while the circumcenter is the intersection of perpendicular bisectors.

Tags

CCSS.HSG.C.A.3