Question

complete the proof that $\triangle efg \cong \triangle ghe$.

	statement	reason
2	$\overline{fg} \cong \overline{eh}$	given
3	$\overline{eg} \cong \overline{eg}$	reflexive property of congruence
4	$\triangle efg \cong \triangle ghe$

Explanation:

Step1: Identify given congruent sides

$\overline{GH} \cong \overline{EF}$, $\overline{FG} \cong \overline{EH}$ (Given)

Step2: Identify shared congruent side

$\overline{EG} \cong \overline{EG}$ (Reflexive Property)

Step3: Apply triangle congruence rule

All three pairs of corresponding sides are congruent, so use the Side-Side-Side (SSS) Congruence Postulate to prove $\Delta EFG \cong \Delta GHE$.

Answer:

The reason for statement 4 is Side-Side-Side (SSS) Congruence Postulate