Circumcenter, Incenter, centroid, orthocenter

Front

Define: CIRCUMCENTER OF A TRIANGLE

Back

The intersection point of the three perpendicular bisectors of a triangle.

Tags

CCSS.HSG.C.A.3

Front

Define: INCENTER OF A TRIANGLE

Back

The intersection point of the three angle bisectors of a triangle.

Tags

CCSS.HSG.C.A.3

Front

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

Back

Medians.

Tags

CCSS.HSG.CO.C.10

Front

What is the circumcenter used for in a triangle?

Back

It is the center of the circumcircle, which passes through all three vertices.

Tags

CCSS.HSG.C.A.3

Front

What is the incenter used for in a triangle?

Back

It is the center of the incircle, which is tangent to all three sides.

Tags

CCSS.HSG.C.A.3

Front

What is the orthocenter of a triangle?

Back

The point where the three altitudes of a triangle intersect.

Tags

CCSS.HSG.CO.C.10

Front

How can you find the circumcenter of a triangle?

Back

By constructing the perpendicular bisectors of at least two sides of the triangle.

Tags

CCSS.HSG.C.A.3

Front

How can you find the incenter of a triangle?

Back

By constructing the angle bisectors of the triangle.

Tags

CCSS.HSG.C.A.3

Front

What is the relationship between the centroid and the medians of a triangle?

Back

The centroid divides each median into two segments, with the longer segment being twice the length of the shorter segment.

Tags

CCSS.HSG.CO.C.10

Front

What is a property of the circumcenter in relation to the triangle's vertices?

Back

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

Tags

CCSS.HSG.C.A.3