HW 5.3

Front

What is the point of concurrency that is the intersection of the altitudes of a triangle?

Back

Orthocenter

Front

Which point of concurrency is known as the center of gravity of a triangle?

Back

Centroid

Front

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

Back

Incenter

Front

If G is the centroid of triangle ABC and GF= 4, what is the length of GC?

Back

8

Front

What is the circumcenter of a triangle?

Back

The point where the perpendicular bisectors of the sides intersect.

Front

What is the incenter of a triangle?

Back

The point where the angle bisectors of the triangle intersect.

Front

What is the centroid of a triangle?

Back

The point where the medians of the triangle intersect.

Front

How do you find the length of a segment from the centroid to a vertex?

Back

It is twice the length of the segment from the centroid to the midpoint of the opposite side.

Front

What is the relationship between the orthocenter and the altitudes of a triangle?

Back

The orthocenter is the point where all three altitudes intersect.

Front

What is the significance of the circumcenter in a triangle?

Back

It is the center of the circumcircle, the circle that passes through all three vertices.