Online Geometry Problems

Online Geometry Problem 927: Semicircle, Diameter, Radius, Equal Arcs, Chord, Congruence. Level: High School, SAT Prep, College, Mathematics Education


The figure below shows a semicircle of center O, diameter AB, radius R and equal arcs AC, CD, DE, EF, FG, GH, HI, IJ, JB. Chords CJ, DI, and EH intersect OF and OG at K, L, M, N, P, Q, respectively. Prove that FG + PQ + MN + KL = R.
Try to use elementary geometry (Euclid's Elements.)


Geometry problem 927 Semicircle, Diameter, Radius, Equal Arcs, Chord, Congruence


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