Triangle Concurrency and Bisectors

Front

What is an altitude in a triangle?

Back

An altitude is a segment from a vertex of a triangle that is perpendicular to the opposite side.

Front

What is a median in a triangle?

Back

A median is a segment from a vertex of a triangle to the midpoint of the opposite side.

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 an angle bisector?

Back

An angle bisector is a ray that divides an angle into two equal angles.

Front

What is a circumcenter?

Back

The circumcenter is the point where the perpendicular bisectors of a triangle intersect, and it is equidistant from the vertices.

Front

What is an orthocenter?

Back

The orthocenter is the point where the altitudes of a triangle intersect.

Front

What is a centroid?

Back

The centroid is the point where the medians of a triangle intersect, and it is the center of mass.

Front

What is an incenter?

Back

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

Front

How do you find the length of an altitude in a triangle?

Back

The length of an altitude can be found using the formula: Area = 1/2 * base * height.

Front

What is the relationship between the centroid and the medians of a triangle?

Back

The centroid divides each median into two segments, with the longer segment being twice the length of the shorter segment.