Geometry Homework - Section 5.2 Bisectors of Triangles

Front

What is a perpendicular bisector of a triangle?

Back

A segment that is perpendicular to the side of a triangle at its midpoint.

Front

What is the circumcenter of a triangle?

Back

The point where the perpendicular bisectors of the sides of a triangle intersect.

Front

If GC is 11, what is AG if G is the midpoint of AC?

Back

AG = 11.

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 a median in a triangle?

Back

A segment that connects a vertex of the triangle to the midpoint of the opposite side.

Front

What is the centroid of a triangle?

Back

The point where the three medians of a triangle intersect.

Front

How do you find the length of a side using the properties of perpendicular bisectors?

Back

Use the fact that the circumcenter is equidistant from the vertices to set up equations.

Front

What is the difference between a median and a perpendicular bisector?

Back

A median connects a vertex to the midpoint of the opposite side, while a perpendicular bisector is perpendicular to a side at its midpoint.

Front

What is the incenter of a triangle?

Back

The point where the angle bisectors of a triangle intersect.

Front

How can you determine the circumradius of a triangle?

Back

The circumradius can be found using the formula R = a / (2 * sin(A)), where a is a side length and A is the angle opposite that side.