Triangle Centers

Front

What is the point where the altitudes of a triangle intersect?

Back

Orthocenter

Front

What special segments intersect at the Orthocenter?

Back

Altitudes

Front

What special segments intersect at the Circumcenter?

Back

Perpendicular Bisectors

Front

What is the term for a segment that connects a vertex of a triangle to the midpoint of the opposite side?

Back

Median

Front

Which center of a triangle is the point of intersection of the medians?

Back

Centroid

Front

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

Back

Incenter

Front

What is the circumradius of a triangle?

Back

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

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.

Front

What is the significance of the incenter in a triangle?

Back

The incenter is the center of the incircle, which is tangent to all three sides of the triangle.

Front

How do you find the circumcenter of a triangle?

Back

By finding the intersection of the perpendicular bisectors of the sides of the triangle.