Question

Need the answer to 2. 3. 7. 8. please help! Really confused on how to do this.

Answer 1

2. $\overline{SV}||\overline{TU}$ (this is given in the first sentence)

3. $\angle XSV\cong\angle XUT$ and $\angle XVS\cong\angle XTU$ due to ...

7. ... the alternate interior angles theorem (which holds because $\overline{ST}$ and $\overline{TU}$ are parallel)

8. Because the above establishes that $\Delta SXT\cong\Delta UXV$, which means $\overline{ST}||\overline{UV}$, which in turn means $VUTS$ is a parallelogram.