Grades 9-10 Video Solutions 2014-Levels 9&10 Video Solutions 2014 problem22

Levels 9&10 Video Solutions 2014 problem22

Video Transcription

Video Summary

Ken needs to add line segments to his diagram to ensure that each of the seven points has the same number of connections. Initially, each point varies in the number of connections it has. By strategically adding line segments, Ken incrementally increases connections in pairs of points until all points have identical connection numbers. Through a series of nine steps, each adding a new line segment between pairs of points with the fewest connections, Ken ensures that all points are ultimately connected to four others, achieving the desired uniformity. Thus, Ken needs to draw a total of nine new line segments.

Keywords

line segments

connections

diagram

uniformity

points