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.