Special Segments in Triangles

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians of a triangle intersect.

Front

What are medians in a triangle?

Back

Medians are segments that connect a vertex of the triangle to the midpoint of the opposite side.

Front

What is an altitude in a triangle?

Back

An altitude is a segment that connects a vertex of the triangle to the opposite side at a right angle (90 degrees).

Front

What is the orthocenter of a triangle?

Back

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

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a right angle, and it does not necessarily pass through a vertex.

Front

What is an angle bisector?

Back

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

Front

How many medians does a triangle have?

Back

A triangle has three medians, one from each vertex.

Front

What is the relationship between the centroid and the medians?

Back

The centroid divides each median into two segments, with the segment connecting the centroid to the vertex being twice as long as the segment connecting the centroid to the midpoint of the opposite side.

Front

What is the significance of the orthocenter in a triangle?

Back

The orthocenter helps in understanding the triangle's altitudes and can be inside, outside, or on the triangle depending on the type of triangle.

Front

What is the difference between an altitude and a median?

Back

An altitude connects a vertex to the opposite side at a right angle, while a median connects a vertex to the midpoint of the opposite side.