Trapezoid — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses trapezoid — a geometry concept — each with a professionally curated solution, many with a video solution too, from LIVE by Po-Shen Loh. Browse all concepts or the full past-contest archive.

All of these problems are used with official legal permission of the Mathematical Association of America (MAA).

AMC 8

1999 AMC 8 Problem 14 · 2001 AMC 8 Problem 11 · 2003 AMC 8 Problem 21 · 2005 AMC 8 Problem 19 · 2007 AMC 8 Problem 8 · 2008 AMC 8 Problem 4 · 2011 AMC 8 Problem 20 · 2025 AMC 8 Problem 24 · 2026 AMC 8 Problem 23

More geometry concepts

3D geometryaltitudeangle bisectorangle bisector theoremangle chasingangle sumannulusarcareaarea decompositionarea ratioBrahmagupta’s Formulacentroidchordcirclecircle areacircumcircle, circumcenter, and circumradiuscircumferenceconecongruence (geometry)coordinate geometrycube geometrycyclic quadrilateralcylinderdiagonaldistance formulaellipseequiangular polygonequilateral triangleEuler’s Polyhedron FormulaHeron’s Formulahomothetyhyperbolaincircle, incenter, and inradiusinscribed angleisosceles trianglekitelattice pointlaw of cosineslaw of sinesmass pointsmedian (geometry)midpointnet (3D geometry)paper foldingparabolaparallel linesparallelogramperimeterperpendicular bisectorPick’s Theorempolyhedronpower of a pointpower scaling of length, area, and volumePtolemy’s TheorempyramidPythagorean TheoremPythagorean Tripleradical axisrectanglerectangular prismreflection (geometry)regular polygonrhombusright trianglesectorshoelace formulasimilarityspecial right trianglespheresquare (geometry)Stewart’s Theoremsurface areatangent circlestangent linetransformationtriangle areatriangle inequalitytrigonometric identitytrigonometryvectorViviani’s Theoremvolume