Geometry on the AMC 10
364 of the 1,300 problems since 2000 (28.0%) have their main idea in this category, spread across 11 topics.
Topics in Geometry
- Angles & Polygons18
Angle chasing, polygon angle sums, regular polygons, parallel lines
- Circles93
Chords, tangents, inscribed angles, power of a point, arc length, sectors, inscribed/circumscribed circles
- Coordinate Geometry41
Distance, slope, lines, circles in the plane, reflections over lines, lattice points
- Geometric Optimization4
Maximum/minimum length or area, shortest paths, extremal configurations
- Quadrilaterals & Polygon Areas46
Areas of quadrilaterals/polygons, trapezoids, shoelace, decomposition, hexagons
- Similar & Congruent Triangles27
Similarity ratios, congruence, proportional segments, area ratios of similar figures
- Solid Geometry48
Volume, surface area, cubes, cones, spheres, cylinders, cross-sections, nets
- Transformations & Symmetry15
Rotations, reflections, folding, tessellations, symmetric figures
- Triangle Centers & Cevians12
Medians, angle bisectors, altitudes, incenter/circumcenter/centroid, Heron, Stewart, angle bisector theorem
- Triangles: Area & Pythagorean60
Triangle area, Pythagorean theorem, special right triangles, triangle inequality
- Trigonometrynot tested
Law of sines/cosines, trig values, trig identities (rare on AMC 10)