DMR 12-9 Triangle Concurrency Points

Front

What is an angle bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Front

What is a median in a triangle?

Back

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

Front

What is the point of concurrency of the three medians of a triangle called?

Back

The centroid.

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point of concurrency of the three perpendicular bisectors of a triangle.

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

Front

What is the incenter of a triangle?

Back

The incenter is the point of concurrency of the three angle bisectors of a triangle.

Front

What is an altitude in a triangle?

Back

An altitude is a perpendicular segment from a vertex to the line containing the opposite side.

Front

What is a midsegment in a triangle?

Back

A midsegment is a segment that connects the midpoints of two sides of a triangle.

Front

How do you find the centroid of a triangle?

Back

To find the centroid, average the x-coordinates and the y-coordinates of the vertices.

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.