Grades 9-10 Video Solutions 2026-2026_9-10

Video Transcription

Video Summary

The transcript explains how to count regular polygons formed from 15 equally spaced points. A regular polygon must skip the same number of vertices each time, and that number must divide 15. The valid divisors are 1, 3, 5, and 15. Skipping 1 gives one regular 15-gon. Skipping 3 gives regular pentagons, and there are 3 distinct ones. Skipping 5 gives regular triangles, and there are 5 distinct ones. Skipping 15 is impossible because it would not form a polygon. Therefore, the total number of regular polygons is 1 + 3 + 5 = 9.

Keywords

regular polygons

15 equally spaced points

divisors

pentagons

triangles