Flashcard 5.2/5.3

Front

If G is the centroid of triangle ABC and BE= 18. Find the length of BG.

Back

12

Front

When you draw the perpendicular bisectors of a triangle it creates the point of concurrency called the _____________.

Back

Circumcenter

Front

The incenter of a triangle is equidistant from the __________ of a triangle.

Back

sides

Front

If G is the centroid of triangle ABC and GF= 4. Find the length of GC.

Back

8

Front

Which point is equidistant from the vertices?

Back

Circumcenter

Front

What is the definition of a centroid in a triangle?

Back

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

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 longer segment being twice the length of the shorter segment.

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 the triangle intersect.

Front

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

Back

The circumcenter is equidistant from all three vertices of the triangle.

Front

What is the definition of an incenter in a triangle?

Back

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