1. Create the midpoint of each side of the triangle.[br][br]2. Create a line segment from each vertex to the midpoint of the opposite side of the triangle.[br] This segment is called the median.[br][br]You should note that all of these line segments intersect at a single point. Label this point D.[br]This point is called the centroid of the triangle.
What types of lines create the centroid of the triangle?
Are these lines equal distance from the angle vertex to the center?
Are the segments equal distance from the side of the triangle to the center?
1. Select the "perpendicular line" tool[br]2.) Click a vertex point and then the opposite line to create the altitude. Repeat for each vertex angle.[br][br]You should note that all of these line segments intersect at a single point. Label this point D.[br]This point is called the orthocenter of the triangle.
What types of lines create the orthocenter of the triangle?
Are these lines equal distance from the angle vertex to the center?
Are the segments equal distance from the side of the triangle to the center?