1 line containing four points A, B, C and D. 1 line containing four points W, X, Y and Z. 4 lines connecting point A with points W, X, Y and Z; 4 lines connecting point B with points W, X, Y and Z; 4 lines connecting point C with points W, X, Y and Z; 4 lines connecting point D with points W, X, Y and Z. In all, 1 + 1 + 4*4 = 18 lines. Answer. 18 lines.