(A) By the triangle inequality for complex numbers,we have $|z_1| + |z_2| \geq |z_1 - z_2|$.Let $z_1 = z$ and $z_2 = 1 - z$.Then $|z| + |1 - z| \geq |

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(A) By the triangle inequality for complex numbers,we have $|z_1| + |z_2| \geq |z_1 - z_2|$.Let $z_1 = z$ and $z_2 = 1 - z$.Then $|z| + |1 - z| \geq |z + (1 - z)| = |1| = 1$.Since $|z-1| = |1-z|$,the expression becomes $|z| + |z-1| \geq 1$.The minimum value is $1$,which occurs when $z$ lies on the line segment joining $0$ and $1$ in the complex plane.