10th Geometry | Points of Concurrency

Front

What is the point of concurrency where the three medians of a triangle intersect?

Back

Centroid

Front

What is the point of concurrency where the angle bisectors of a triangle intersect?

Back

Incenter

Front

What is the point of concurrency where the perpendicular bisectors of the sides of a triangle intersect?

Back

Circumcenter

Front

What is the term for the center of gravity of a triangle?

Back

Centroid

Front

What is the relationship between the sides of a triangle if they measure 5, 10, and 15?

Back

They do not form a triangle.

Front

What is the significance of the centroid in a triangle?

Back

It is the point that balances the triangle and is located at the average of the vertices' coordinates.

Front

How do you find the circumcenter of a triangle?

Back

By finding the intersection of the perpendicular bisectors of the sides.

Front

What is the formula to determine if three lengths can form a triangle?

Back

The sum of the lengths of any two sides must be greater than the length of the third side.

Front

What is the point of concurrency for the altitudes of a triangle called?

Back

Orthocenter

Front

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

Back

The incenter is equidistant from all sides of the triangle.