U3 - Points of Concurrency in a Triangle

Front

What is the Perpendicular Bisector in a triangle?

Back

A line segment that divides another segment into two equal parts at a right angle.

Front

Where do the three angle bisectors of a triangle intersect?

Back

The incenter.

Front

What is the Centroid of a triangle?

Back

The point where the three medians intersect, dividing each median into a 2:1 ratio.

Front

What is a Median in a triangle?

Back

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

Front

Where do the three altitudes of a triangle intersect?

Back

The orthocenter.

Front

What is the definition of an Altitude in a triangle?

Back

A perpendicular segment from a vertex to the line containing the opposite side.

Front

What is the Circumcenter of a triangle?

Back

The point where the three perpendicular bisectors of the sides intersect.

Front

What is the Incenter of a triangle?

Back

The point where the three angle bisectors intersect, which is also the center of the inscribed circle.

Front

What is the relationship between the Centroid and the Medians?

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 significance of the Orthocenter in a triangle?

Back

It is the point where the three altitudes intersect, and its position varies based on the type of triangle.