6.1 Special Segments in Triangles

Front

What is an altitude in a triangle?

Back

An altitude is a segment from a vertex of a triangle perpendicular to the line containing 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 an angle bisector?

Back

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

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 are collinear points?

Back

Collinear points are points that lie on the same straight line.

Front

What is the relationship between the altitude and the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height (where height is the length of the altitude).

Front

How many altitudes can be drawn in a triangle?

Back

Three altitudes can be drawn in a triangle, one from each vertex.

Front

What is the significance of the centroid in a triangle?

Back

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

Front

What is the difference between a median and an altitude?

Back

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

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.