Geo - Unit 5 Vocab (Constructions / Pts of Concurrency)

Front

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

Back

Centroid

Front

What is the term for a segment that is perpendicular to a side of a triangle and extends from a vertex?

Back

Altitude

Front

What do you call a segment that divides an angle into two equal parts?

Back

Angle Bisector

Front

What is the point where the 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 of a triangle?

Back

The centroid divides each median into two segments, with the longer segment being twice the length of the shorter segment.

Front

How many points of concurrency are there in a triangle, and what are they called?

Back

There are three points of concurrency in a triangle: the centroid, orthocenter, and circumcenter.

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 significance of the orthocenter in a triangle?

Back

The orthocenter is the point where the altitudes of a triangle intersect, and it can lie inside, outside, or on the triangle depending on the type of triangle.

Front

What is the difference between a median and an altitude in a triangle?

Back

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