SMO Junior · 8. Angles, triangles and lengths
Angle sums, isosceles angle chasing, triangle inequality with areas, and similar triangles — the core geometry toolkit for SMO Junior.
Use angle sums of triangles and polygons, including bounding the number of sides.
Chase angles through chains of isosceles triangles with one unknown.
Bound lengths with the triangle inequality and the area formula.
Set up similar triangles with correct vertex order and use the right-triangle altitude relations.
Write a complete short geometry proof.