Centers of Triangles Review

Front

What are altitudes in a triangle?

Back

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

Front

What is the circumcenter of a triangle?

Back

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

Front

What is the orthocenter of a triangle?

Back

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

Front

What is the incenter of a triangle?

Back

The incenter is the point where the three angle bisectors of a triangle intersect.

Front

What is the centroid of a triangle?

Back

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

Front

If BE = 15, what is EG if the total length is 20?

Back

EG = 5.

Front

If PY = 6 and CY = 8, what is PC?

Back

PC = 10.

Front

What is a median in a triangle?

Back

A median is a segment from a vertex to the midpoint of the opposite side.

Front

What is an angle bisector?

Back

An angle bisector is a ray that divides an angle into two equal parts.

Front

How do you find the circumradius of a triangle?

Back

The circumradius can be found using the formula R = (abc)/(4K), where a, b, c are the sides and K is the area.