What is the length of the midsegment of this trapezoid? Enter your answer in the box.

units

Trapezoid A B C D on the coordinate plane. The vertices of the trapezoid are A begin ordered pair 2 comma 4 end ordered pair, B begin ordered pair 7 comma 4 end ordered pair, C begin ordered pair 9 comma negative 1 end ordered pair, and D begin ordered pair negative 2 comma negative 1 end ordered pair.

Nina has prepared the following two-column proof below. she is given that ∠oln ≅ ∠lno and she is trying to prove that ol ≅ on. triangle oln, where angle oln is congruent to angle lno step statement reason 1 ∠oln ≅ ∠lno given 2 draw oe as a perpendicular bisector to ln by construction 3 ∠leo ≅ ∠neo transitive property of equality 4 m∠leo = 90° definition of a perpendicular bisector 5 m∠neo = 90° definition of a perpendicular bisector 6 le ≅ en definition of a perpendicular bisector 7 δole ≅ δone side-angle-side (sas) postulate 8 ol ≅ on cpctc nina made two errors in the proof. identify and correct the errors.