Angle bisector — AMC & AIME Problems | LIVE by Po-Shen Loh

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Angle bisector — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Angle bisector — 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 problems are used with official legal permission of the Mathematical Association of America (MAA).

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These problems’ difficulty ratings come from real solve attempts on our platform. Tap a band or a contest to filter the list below, and tap a selected band again to include all difficulties. See the full difficulty guide.

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AMC 8

1996 AMC 8 Problem 24 • 2000 AMC 8 Problem 13

AMC 12

1951 AMC 12 Problem 46 • 1954 AMC 12 Problem 37 • 1954 AMC 12 Problem 46 • 1957 AMC 12 Problem 1 • 1962 AMC 12 Problem 7 • 1965 AMC 12 Problem 4 • 1968 AMC 12 Problem 18 • 1970 AMC 12 Problem 30 • 1981 AMC 12 Problem 19 • 1984 AMC 12 Problem 18 • 1986 AMC 12 Problem 3 • 1993 AMC 12 Problem 23 • 2008 AMC 12B Problem 25 • 2013 AMC 12B Problem 24 • 2021 AMC 12A Fall Problem 13 • 2021 AMC 12B Fall Problem 24 • 2025 AMC 12A Problem 16

AIME

1990 AIME Problem 7 • 2000 AIME II Problem 10 • 2002 AIME II Problem 15 • 2008 AIME II Problem 11 • 2009 AIME II Problem 10 • 2011 AIME I Problem 4 • 2012 AIME II Problem 15 • 2014 AIME II Problem 14 • 2020 AIME I Problem 13 • 2022 AIME I Problem 3 • 2022 AIME I Problem 14 • 2022 AIME II Problem 11

More geometry concepts

3D geometry altitude angle bisector theorem angle chasing angle sum annulus arc area area decomposition area ratio Brahmagupta’s Formula British Flag Theorem centroid Ceva’s Theorem chord circle circle area circumcircle, circumcenter, and circumradius circumference cone congruence (geometry)coordinate geometry cube geometry cyclic quadrilateral cylinder diagonal distance formula ellipse equiangular polygon equilateral triangle Euler’s Polyhedron Formula Heron’s Formula homothety hyperbola incircle, incenter, and inradius inscribed angle isosceles triangle kite lattice point law of cosines law of sines mass points median (geometry)midpoint net (3D geometry)paper folding parabola parallel lines parallelogram perimeter perpendicular bisector Pick’s Theorem polyhedron power of a point power scaling of length, area, and volume Ptolemy’s Theorem pyramid Pythagorean Theorem Pythagorean Triple radical axis rectangle rectangular prism reflection (geometry)regular polygon rhombus right triangle sector shoelace formula similarity special right triangle sphere square (geometry)Stewart’s Theorem surface area tangent circles tangent line transformation trapezoid triangle area triangle inequality trigonometric identity trigonometry vector Viviani’s Theorem volume