HG--Special Segments in Triangles

Front

What is the point of concurrency in a triangle where all altitudes intersect?

Back

Orthocenter

Front

What is the segment that connects a vertex to the midpoint of the opposite side called?

Back

Median

Front

If a triangle has a median of length 18, what is the length of the segment from the vertex to the centroid?

Back

9 (The centroid divides the median in a 2:1 ratio.)

Front

What is the circumcenter of a triangle?

Back

The point where the perpendicular bisectors of the sides intersect, equidistant from the vertices.

Front

What is the relationship between the circumcenter and the vertices of a triangle?

Back

The circumcenter is equidistant from all three vertices.

Front

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

Back

10 (The median divides the opposite side into two equal segments.)

Front

What is the altitude of a triangle?

Back

A segment from a vertex perpendicular to the line containing the opposite side.

Front

What is the incenter of a triangle?

Back

The point where the angle bisectors of the triangle intersect, equidistant from all sides.

Front

What is the relationship between the incenter and the sides of a triangle?

Back

The incenter is equidistant from all three sides of the triangle.

Front

What is a midsegment in a triangle?

Back

A segment that connects the midpoints of two sides of the triangle.