What are the properties of a parallelogram that can be used to prove that quadrilateral VUTS is a parallelogram?

To prove that quadrilateral VUTS is a parallelogram, you need to show that it satisfies the properties of a parallelogram. Here are the properties of a parallelogram:

1. Opposite sides are parallel: This means that if you can show that sides VU and ST are parallel, and sides UT and VS are parallel, then you have proved the first property.

2. Opposite sides are congruent: This means that if you can show that sides VU and ST are congruent, and sides UT and VS are congruent, then you have proved the second property.

3. Opposite angles are congruent: This means that if you can show that angle V and angle S are congruent, and angle U and angle T are congruent, then you have proved the third property.

4. Consecutive angles are supplementary: This means that if you can show that angle S and angle U are supplementary (add up to 180 degrees), and angle T and angle V are supplementary, then you have proved the fourth property.

To prove that quadrilateral VUTS is a parallelogram, you need to use these properties and apply them to the given information about the figure.