Triangle Centers and Properties

The video tutorial covers the four main centers of a triangle: orthocenter, centroid, incenter, and circumcenter. It explains how each center is formed by specific line segments: altitudes for the orthocenter, medians for the centroid, angle bisectors for the incenter, and perpendicular bisectors for the circumcenter. The tutorial includes visual aids and references to additional resources for drawing these segments.

Which of the following is NOT a center of a triangle?

• Incenter

• Centroid

• Orthocenter

• Midpoint

What is the orthocenter of a triangle?

• The point where all medians meet

• The point where all altitudes meet

• The point where all angle bisectors meet

• The point where all perpendicular bisectors meet

How is an altitude of a triangle drawn?

• From a vertex to the opposite vertex

• From the midpoint of one side to the midpoint of another side

• From a vertex to the opposite side, perpendicular to it

• From a vertex to the midpoint of the opposite side

What color was used to represent altitudes in the video?

• Purple

• Green

• Blue

• Red

What is the centroid of a triangle?

• The point where all altitudes meet

• The point where all medians meet

• The point where all perpendicular bisectors meet

• The point where all angle bisectors meet

How is a median of a triangle drawn?

• From a vertex to the midpoint of the opposite side

• From the midpoint of one side to the midpoint of another side

• From a vertex to the opposite vertex

• From a vertex to the opposite side, perpendicular to it

What color was used to represent medians in the video?

• Blue

• Red

• Green

• Purple

What is the incenter of a triangle?

• The point where all altitudes meet

• The point where all angle bisectors meet

• The point where all medians meet

• The point where all perpendicular bisectors meet

What is the purpose of the incenter in a triangle?

• It is the center of the circumscribed circle

• It is the center of the inscribed circle

• It is the center of gravity

• It is the center of the triangle's perimeter

What is the circumcenter of a triangle?

• The point where all perpendicular bisectors meet

• The point where all altitudes meet

• The point where all medians meet

• The point where all angle bisectors meet