Question

$overline{wx} cong overline{vw}$ and $overline{ux} cong overline{uv}$. complete the proof that $\triangle uwx cong \triangle uwv$.

Explanation:

Step1: Identify shared side

$\overline{UW} \cong \overline{UW}$

Step2: Apply SSS congruence

$\triangle UWX \cong \triangle UWV$ by SSS (3 pairs of congruent sides: $\overline{WX} \cong \overline{VW}$, $\overline{UX} \cong \overline{UV}$, $\overline{UW} \cong \overline{UW}$)

Completed Proof Table:

Statement	Reason
2. $\overline{UX} \cong \overline{UV}$	Given
3. $\overline{UW} \cong \overline{UW}$	Reflexive Property of Congruence
4. $\triangle UWX \cong \triangle UWV$	Side-Side-Side (SSS) Congruence Postulate

Answer:

$\triangle UWX \cong \triangle UWV$