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

Front

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

Back

Centroid

Tags

CCSS.HSG.CO.C.10

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

Tags

CCSS.7.G.B.5

Front

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

Back

Orthocenter

Tags

CCSS.HSG.C.A.3

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.

Tags

CCSS.HSG.CO.C.10

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.

Tags

CCSS.HSG.C.A.3

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.

Tags

CCSS.HSG.C.A.3

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.

Tags

CCSS.HSG.C.A.3

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.