This document outlines the objectives and key vocabulary for a lesson on properties of real numbers and identifying congruent segments and midpoints. The objectives are to learn to apply properties of real numbers, identify congruent segments, and find midpoints of segments. Key vocabulary includes reflexive property, symmetric property, transitive property, congruent segments, theorem, midpoint, and properties of equality. The segment-addition postulate states that if a point X is on segment AB, the sum of AX and XB equals the length of AB.