Segment GI is congruent to Segment JL and Segment GH is congruent to Segment KL. I have to prove Segment HI is congruent to Segm

Question

1 month ago

10

ent JK. It has to be done in eight steps with reasons.

1 answer:

Zina [12.3K] · Answer 1 · 2026-02-27T05:33:26+03:00

Solution:

Refer to the detailed explanation

Step-by-step process:

1 step: $\overline{GI}\cong \overline {JL}$ - provided

2 step: $\overline{GI}\cong \overline{GH}+\overline{HI}$ - Segments Addition Postulate

3 step: $\overline{GH}+\overline{HI}\cong \overline {JL}$ - Substitution Property

4 step: $\overline {JL}\cong \overline {JK}+\overline {KL}$ - Segments Addition Postulate

5 step: $\overline{GH}+\overline{HI}\cong \overline {JK}+\overline {KL}$ - Substitution Property

6 step: $\overline{GH}\cong \overline {KL}$ - provided

7 step: $\overline{GH}+\overline{HI}\cong \overline {JK}+\overline {GH}$ - Property of Substitution Equality

8 step: $\overline{HI}\cong \overline {JK}$ - Equality Subtraction Property