5.3/5.5 after Bisectors of Triangles/bisector Thm review

Front

What does the perpendicular bisector theorem state?

Back

If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

Front

The incenter of a triangle is equidistant from which part of the triangle?

Back

Sides

Front

Which point inside a triangle is equidistant from the vertices?

Back

Circumcenter

Front

What is the centroid of a triangle also known as?

Back

Center of gravity or center of mass.

Front

The circumcenter of a triangle is equidistant from which part of the triangle?

Back

Vertices

Front

What is the definition of a bisector in geometry?

Back

A line that divides an angle or a segment into two equal parts.

Front

What is the relationship between the incenter and the sides of a triangle?

Back

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

Front

What is the significance of the circumcenter in a triangle?

Back

It is the point where the perpendicular bisectors of the sides intersect and is equidistant from the vertices.

Front

How can you find the centroid of a triangle?

Back

By averaging the coordinates of the vertices.

Front

What is the definition of the centroid in a triangle?

Back

The point where the three medians intersect.