Points of Concurrency Vocab Practice

Front

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

Back

Centroid

Front

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

Back

Orthocenter

Front

What is the point of concurrency formed by the intersection of the perpendicular bisectors of a triangle?

Back

Circumcenter

Front

What is the point of concurrency formed by the intersection of the angle bisectors of a triangle?

Back

Incenter

Front

What is the definition of a centroid in 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.

Front

What is the definition of an orthocenter in a triangle?

Back

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

Front

What is the definition of a circumcenter in a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect, and it is equidistant from all three vertices.

Front

What is the definition of an incenter in a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect, and it is equidistant from all three sides.

Front

If the lengths of the sides of a triangle are 6, 8, and 10, what is the circumradius?

Back

The circumradius R can be calculated using the formula R = (abc)/(4K), where K is the area of the triangle. For this triangle, R = 5.

Front

What is the relationship between the centroid and the vertices of a triangle?

Back

The centroid divides each median into two segments, with the segment connecting the centroid to the vertex being twice as long as the segment connecting the centroid to the midpoint of the opposite side.