Center of Triangles

Front

What is the point where all three medians of a triangle intersect called?

Back

Centroid

Front

What segments intersect at the centroid of a triangle?

Back

Medians

Front

What is the point where all three perpendicular bisectors of a triangle meet called?

Back

Circumcenter

Front

What is the point where all three altitudes of a triangle intersect called?

Back

Orthocenter

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

What is the relationship between the centroid and the medians in 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 circumcenter of a triangle used for?

Back

It is the center of the circumcircle, the circle that passes through all three vertices of the triangle.

Front

How can you find the circumcenter of a triangle?

Back

By constructing the perpendicular bisectors of at least two sides of the triangle; their intersection is the circumcenter.

Front

What is the orthocenter of a triangle?

Back

The point where all three altitudes of a triangle intersect.

Front

What is the significance of the orthocenter in a triangle?

Back

It helps in understanding the triangle's altitude properties and can be used in various geometric constructions.