5.4 - Medians & Altitudes

Front

What is a median in a triangle?

Back

A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side.

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians of a triangle intersect, and it is also the center of mass of the triangle.

Tags

CCSS.HSG.CO.C.10

Front

How does the centroid divide each median?

Back

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

Tags

CCSS.HSG.CO.C.10

Front

What is the point of concurrency of the three medians called?

Back

The point of concurrency of the three medians is called the centroid.

Tags

CCSS.HSG.CO.C.10

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point of concurrency of the three perpendicular bisectors of a triangle.

Tags

CCSS.HSG.C.A.3

Front

What is the relationship between the circumcenter and the triangle's vertices?

Back

The circumcenter is equidistant from all three vertices of the triangle.

Tags

CCSS.HSG.C.A.3

Front

What is an altitude in a triangle?

Back

An altitude is a perpendicular segment from a vertex to the line containing the opposite side.

Front

What is the orthocenter of a triangle?

Back

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

Tags

CCSS.HSG.CO.C.10

Front

What is the difference between a median and an altitude?

Back

A median connects a vertex to the midpoint of the opposite side, while an altitude is a perpendicular line from a vertex to the opposite side.

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a right angle.

Tags

CCSS.HSG.CO.A.1