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

LIVE

English

Parallelogram — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Parallelogram — 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).

Filter by difficulty

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.

800

1200

1600

2000

2400

2800

AMC 8

1989 AMC 8 Problem 15 • 1991 AMC 8 Problem 10 • 1995 AMC 8 Problem 24 • 2004 AMC 8 Problem 24 • 2022 AMC 8 Problem 18

AMC 10

2001 AMC 10 Problem 15 • 2004 AMC 10A Problem 19 • 2013 AMC 10A Problem 12 • 2024 AMC 10B Problem 10

AMC 12

1955 AMC 12 Problem 48 • 1963 AMC 12 Problem 12 • 1963 AMC 12 Problem 38 • 1964 AMC 12 Problem 17 • 1964 AMC 12 Problem 22 • 1970 AMC 12 Problem 30 • 1974 AMC 12 Problem 25 • 1977 AMC 12 Problem 19 • 1989 AMC 12 Problem 13 • 1990 AMC 12 Problem 4 • 1992 AMC 12 Problem 24 • 2007 AMC 12B Problem 20 • 2013 AMC 12A Problem 9 • 2018 AMC 12A Problem 23 • 2021 AMC 12B Spring Problem 24

AIME

1996 AIME Problem 15 • 1998 AIME Problem 3 • 1998 AIME Problem 6 • 1999 AIME Problem 2 • 2004 AIME II Problem 13 • 2006 AIME II Problem 12 • 2009 AIME I Problem 4 • 2009 AIME I Problem 5 • 2021 AIME I Problem 2 • 2022 AIME I Problem 11

More geometry concepts

3D geometry altitude angle bisector 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 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