Question

view answer choices step reason 1. g is the midpoint of fh. given 2. (overline{fg}congoverline{gh}) definition of midpoint 3. (fg = gh) definition of congruent segments 4. (fg+gh = fh) 5. (fg + fg=fh) substitution property of equality 6. (2fg = fh) addition property of equality q.e.d. 4. segments (overline{ab}) and (overline{cd}) are shown in the accompanying figure. it is known that (overline{ae}) is congruent to (overline{cd}). describe the statement in step 4 of the proof.

Explanation:

Step1: Identify the principle

The statement "FG + GH = FH" follows the Segment - Addition Postulate. This postulate states that if a point G lies on a line segment FH, then the sum of the lengths of the two smaller segments FG and GH is equal to the length of the entire segment FH.

Answer:

Segment - Addition Postulate