j is the midpoint of $\overline{hi}$ and $\overline{gi} \cong \overline{gh}$. complete the proof that $\triangle gij \cong \triangle ghj$.

| statement | reason |
| --- | --- |
| 1 $j$ is the midpoint of $\overline{hi}$ | given |
| 2 $\overline{gi} \cong \overline{gh}$ | given |
| 3 $\overline{hj} \cong \overline{ij}$ | definition of midpoint |
| 4 $\overline{gj} \cong \overline{gj}$ | reflexive property of congruence |
| 5 | |

Question

j is the midpoint of $\overline{hi}$ and $\overline{gi} \cong \overline{gh}$. complete the proof that $\triangle gij \cong \triangle ghj$.

| statement | reason |
| --- | --- |
| 1 $j$ is the midpoint of $\overline{hi}$ | given |
| 2 $\overline{gi} \cong \overline{gh}$ | given |
| 3 $\overline{hj} \cong \overline{ij}$ | definition of midpoint |
| 4 $\overline{gj} \cong \overline{gj}$ | reflexive property of congruence |
| 5 |  |

Accepted Answer

# Answer:
$	riangle GIJ \cong 	riangle GHJ$
# Explanation:
## Step1: Identify given congruent sides
1. $\overline{GI} \cong \overline{GH}$ (Given)
2. $\overline{HJ} \cong \overline{IJ}$ (Definition of midpoint)
3. $\overline{GJ} \cong \overline{GJ}$ (Reflexive Property)
## Step2: Apply SSS congruence rule
If three sides of one triangle are congruent to three sides of another triangle, the triangles are congruent (SSS Congruence Postulate).
Thus, $	riangle GIJ \cong 	riangle GHJ$

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QUESTION IMAGE

Question

Explanation:

Step1: Identify given congruent sides

Step2: Apply SSS congruence rule

Answer:

statement	reason
2 \\(\overline{gi} \cong \overline{gh}\\)	given
3 \\(\overline{hj} \cong \overline{ij}\\)	definition of midpoint
4 \\(\overline{gj} \cong \overline{gj}\\)	reflexive property of congruence
5