Segment GI is congruent to Segment JL and Segment GH is congruent to Segment KL. I have to prove Segment HI is congruent to Segment JK. It has to be done in eight steps with reasons.

Answer:See explanationStep-by-step explanation:1 step: [tex]\overline{GI}\cong \overline {JL}[/tex] - given2 step: [tex]\overline{GI}\cong \overline{GH}+\overline{HI}[/tex] - Segments Addition Postulate3 step: [tex]\overline{GH}+\overline{HI}\cong \overline {JL}[/tex] - Substitution Property 4 step: [tex]\overline {JL}\cong \overline {JK}+\overline {KL}[/tex] - Segments Addition Postulate5 step: [tex]\overline{GH}+\overline{HI}\cong \overline {JK}+\overline {KL}[/tex] - Substitution Property 6 step: [tex]\overline{GH}\cong \overline {KL}[/tex] - given7 step: [tex]\overline{GH}+\overline{HI}\cong \overline {JK}+\overline {GH}[/tex] - Substitution Property of Equality8 step: [tex]\overline{HI}\cong \overline {JK}[/tex] - Subtraction Property of Equality