Grades 9-10 Video Solutions 2010-Levels 9&10 Video Solutions 2010 problem7

Levels 9&10 Video Solutions 2010 problem7

Video Transcription

Video Summary

In the problem, six points are marked on a grid, and the task is to determine which geometric figure cannot have all its vertices on these points. The narrator explores several shapes: a square, trapezoid, non-rhombus parallelogram, and obtuse triangle. Each of these can be constructed with the given points. However, an equilateral triangle cannot be formed as the third side will not match the length of the other two, regardless of how the points are connected. Thus, an equilateral triangle is the figure that cannot have all its vertices on the given six points.

Keywords

geometric figures

equilateral triangle

grid points

vertices

shapes