Question

complete the proof that $\triangle tuv cong \triangle twv$.

	statement	reason
2	$overline{vw} cong overline{uv}$	given
3	$overline{tv} cong overline{tv}$	reflexive property of congruence
4	$\triangle tuv cong \triangle twv$

Explanation:

Step1: Identify congruent sides

We have $\overline{TU} \cong \overline{TW}$, $\overline{VW} \cong \overline{UV}$, and $\overline{TV} \cong \overline{TV}$ (reflexive property).

Step2: Apply triangle congruence rule

When all three pairs of corresponding sides of two triangles are congruent, the Side-Side-Side (SSS) Congruence Postulate confirms the triangles are congruent.

Answer:

Side-Side-Side (SSS) Congruence Postulate