The figure shows a square ABCD with lines AMF, ALG, BMH, BJK, CJE, CKH, DKF, and DLE the trisectors of angles A, B, C, and D, respectively. Prove that (1) EFGH is a square, (2) JKLM is a square, and (3) the area of square EFGH is 3 times the area of square JKLM. Post a comment or solution.
 

See Also:

Proposed Problem 397.
Triangle, Altitude, Midpoints, Congruence.

Proposed Problem 395.
Square, 15 Degree, Equilateral triangle.

Proposed Problem 394.
Square, 90 Degree Arc, Diagonal, Congruence.