Triangle Centers and Concurrency

Front

What is the orthocenter of a triangle?

Back

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

Front

What are altitudes in a triangle?

Back

Altitudes are segments drawn from a vertex of a triangle perpendicular to the opposite side.

Front

What is a midsegment in a triangle?

Back

A midsegment is a segment that connects the midpoints of two sides of a triangle.

Front

What is the significance of angle bisectors in a triangle?

Back

Angle bisectors are segments that divide an angle into two equal angles and intersect at the incenter.

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians of a triangle intersect.

Front

What are medians in a triangle?

Back

Medians are segments drawn from a vertex to the midpoint of the opposite side.

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 relationship between the orthocenter and the altitudes of a triangle?

Back

The orthocenter is the intersection point of the altitudes of a triangle.

Front

How do you find the length of a midsegment?

Back

The length of a midsegment is half the length of the side it is parallel to.

Front

What is the incenter of a triangle?

Back

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