Triangle Concurrency and Properties

The video tutorial covers special segments in triangles, including perpendicular bisectors, angle bisectors, medians, and altitudes. It explains how these segments relate to points of concurrency such as the circumcenter, incenter, centroid, and orthocenter. The tutorial provides diagrams and examples to illustrate these concepts, emphasizing their unique properties and positions within different types of triangles.

What should you take out to follow along with the video tutorial?

• A red textbook

• A green notebook

• A blue study guide

• A yellow study guide

What is the primary function of a perpendicular bisector in a triangle?

• To divide an angle into two equal parts

• To measure the height of the triangle

• To bisect a side and form a 90° angle

• To connect a vertex to the opposite side

What does an angle bisector do in a triangle?

• Divides a side into two equal parts

• Creates a 90° angle with a side

• Divides an angle into two congruent angles

• Connects a vertex to the midpoint of the opposite side

What is a median in a triangle?

• A line that is perpendicular to a side

• A segment that measures the height of the triangle

• A segment from a vertex to the midpoint of the opposite side

• A line that bisects an angle

Where can the altitude of a triangle be located?

• Inside, outside, or on a side of the triangle

• Only outside the triangle

• Only inside the triangle

• Only on a side of the triangle

Which point of concurrency is created by perpendicular bisectors?

• Orthocenter

• Centroid

• Incenter

• Circumcenter

What is a unique property of the circumcenter?

• It is equidistant from each vertex

• It is equidistant from each side

• It is always located inside the triangle

• It divides the median into a 2/3 and 1/3 ratio

Which point of concurrency is created by angle bisectors?

• Circumcenter

• Incenter

• Centroid

• Orthocenter

What is a unique property of the incenter?

• It divides the median into a 2/3 and 1/3 ratio

• It is always located outside the triangle

• It is equidistant from each side

• It is equidistant from each vertex

Which point of concurrency is created by medians?

• Circumcenter

• Incenter

• Orthocenter

• Centroid