Points of Concurrency in Triangles

These flashcards cover the concepts of points of concurrency in triangles, including definitions, locations, and significance.

What are the four types of segments that create points of concurrency in triangles?

Perpendicular bisectors, altitudes, angle bisectors, and medians.

What point of concurrency is located inside an acute triangle?

Centroid.

What is the significance of the centroid in a triangle?

It is the balancing point of the triangle, dividing each median into two segments at a ratio of 2:1.

Where is the circumcenter located in an obtuse triangle?

Outside the triangle.

What is the location of the incenter in all types of triangles?

Inside the triangle.

What point of concurrency is equidistant to the vertices of the triangle?

Circumcenter.

What segment is divided in half by the centroid?

Median.

In a right triangle, where is the circumcenter located?

Midpoint of the hypotenuse.

What type of triangle has its centroid, circumcenter, and incenter all located inside?

Acute triangle.

What is a key property of the incenter of a triangle?

It is equidistant to all sides of the triangle.