Special Segments and Centers of Triangles

Front

What is the point at which the three medians intersect in a triangle?

Back

Centroid

Front

What is a segment that connects a vertex of a triangle to the opposite side so that it is perpendicular to that side?

Back

Altitude

Front

What is a segment that connects a vertex of a triangle to the midpoint of the opposite side?

Back

Median

Front

What is a line, segment, or ray that divides an angle into two equal parts?

Back

Angle bisector

Front

What is a line, segment, or ray that divides a segment into two equal parts and is perpendicular to the segment?

Back

Perpendicular bisector

Front

What is the center of a circle inscribed in a triangle?

Back

Incenter

Front

What is the point where the altitudes of a triangle intersect?

Back

Orthocenter

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.

Front

What is the formula for finding the area of a triangle using the base and height?

Back

Area = 1/2 * base * height

Front

What is the significance of the circumcenter in a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides intersect and is the center of the circumcircle.