Special Segments in Triangles

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 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 an angle bisector in a triangle?

Back

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

Front

What is a perpendicular bisector in a triangle?

Back

A perpendicular bisector is a line that is perpendicular to a segment at its midpoint.

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

In which type of triangle can a special segment be on the triangle?

Back

In a right triangle, special segments such as altitudes can lie on the triangle.

Front

What is the relationship between the medians of a triangle?

Back

The three medians of a triangle intersect at a point called the centroid, which divides each median into a ratio of 2:1.

Front

How many perpendicular bisectors does a triangle have?

Back

A triangle has three perpendicular bisectors, one for each side.

Front

What is the significance of the centroid in a triangle?

Back

The centroid is the point where the three medians intersect and is the center of mass of the triangle.

Front

What is the relationship between the angle bisectors of a triangle?

Back

The three angle bisectors of a triangle intersect at a point called the incenter, which is the center of the triangle's incircle.