Centroid and Centers of Triangles Flashcard

Front

The point of concurrency of the 3 perpendicular bisectors of a triangle is called the ___?

Back

Circumcenter

Front

The centroid cuts each median into two segments. The shorter segment is ___________ the length of the entire segment.

Back

one third

Front

If AC = 16, what is AM?

Back

8

Front

The altitudes of a triangle intersect at the _________________________.

Back

Orthocenter

Front

What is the point of concurrency of the angle bisectors of a triangle called?

Back

Incenter

Front

In a triangle, the centroid divides each median in the ratio of ___?

Back

2:1

Front

What is the formula to find the centroid (G) of a triangle with vertices A(x1, y1), B(x2, y2), C(x3, y3)?

Back

G = ((x1+x2+x3)/3, (y1+y2+y3)/3)

Front

The circumcenter is equidistant from the ___ of the triangle.

Back

Vertices

Front

What is the relationship between the orthocenter and the altitudes of a triangle?

Back

The orthocenter is the point where the altitudes intersect.

Front

In an isosceles triangle, where is the centroid located in relation to the base?

Back

The centroid is located along the median from the vertex opposite the base.