HW 5.3

Front

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

Back

Orthocenter

Tags

CCSS.HSG.C.A.3

Front

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

Back

Centroid

Tags

CCSS.HSG.CO.C.10

Front

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

Back

Incenter

Tags

CCSS.HSG.C.A.3

Front

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

Back

8

Tags

CCSS.HSG.CO.C.10

Front

What is the circumcenter of a triangle?

Back

The point where the perpendicular bisectors of the sides intersect.

Tags

CCSS.HSG.C.A.3

Front

What is the incenter of a triangle?

Back

The point where the angle bisectors of the triangle intersect.

Tags

CCSS.HSG.C.A.3

Front

What is the centroid of a triangle?

Back

The point where the medians of the triangle intersect.

Tags

CCSS.HSG.CO.C.10

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.

Tags

CCSS.HSG.CO.C.10

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.

Tags

CCSS.HSG.CO.C.10

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.

Tags

CCSS.HSG.C.A.3