Altitudes, Medians, & Centers

Front

What are the medians of a triangle?

Back

Medians are line segments that connect a vertex of a triangle to the midpoint of the opposite side.

Front

If BF = 10 in triangle ABC, what is AF if CF, BE, and AD are the medians?

Back

AF = 10.

Front

What is the relationship between the segments created by the centroid on a median?

Back

The centroid divides each median into two segments, where the shorter segment is one third the length of the entire median.

Front

If AL = 27, what is PL?

Back

PL = 9.

Front

If DL = 24, what is DG?

Back

DG = 8.

Front

Where do the altitudes of a triangle intersect?

Back

The altitudes of a triangle intersect at the Orthocenter.

Front

What is the centroid of a triangle?

Back

The centroid is the point where all three medians intersect, and it divides each median into a 2:1 ratio.

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.

Front

What is the incenter of a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect, and it is the center of the triangle's inscribed circle.

Front

What is the orthocenter of a triangle?

Back

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