Constructions - Special Segments

Flashcards covering key vocabulary related to special segments in triangles.

Angle Bisector

A line that starts at the vertex of an angle and divides the angle into two equal parts.

Perpendicular Bisector

A line that intersects the side of a triangle at its midpoint, forming a right angle.

Median

A line segment that starts at a vertex of a triangle and intersects the opposite side at its midpoint.

Altitude

A line segment that starts at a vertex of a triangle and forms a right angle with the opposite side.

Point of Concurrency

The point where three or more lines intersect in a triangle.

Incenter

The point of concurrency for angle bisectors, equidistant from all three sides of a triangle.

Circumcenter

The point of concurrency for perpendicular bisectors, equidistant from all three vertices of a triangle.

Centroid

The point of concurrency for medians, which is two-thirds the distance from each vertex to the midpoint of the opposite side.

Orthocenter

The point of concurrency for altitudes.

Equidistant

Being the same distance from two or more points.

What is another significant property of the Centroid?

The Centroid is the center of mass or center of gravity of a triangle.

Where is the Orthocenter located in an acute triangle?

Inside the triangle.

Where is the Orthocenter located in a right triangle?

On the vertex of the right angle.

Where is the Orthocenter located in an obtuse triangle?

Outside the triangle.