Point Z is the circumcenter of ΔLMN.

Point Z is the circumcenter of triangle L M N. Lines are drawn from each point of the triangle to point Z. Lines are drawn from point Z to each side to form right angles and line segments Z A, Z B, and Z C.
Which must be true?

Line segment A N is-congruent-to line segment L B
Line segment N C is-congruent-to line segment B Z
AngleBMZ Is-congruent-to AngleCMZ
AngleZBM Is-congruent-to AngleZCM