Respuesta :

Answer:

Step-by-step explanation:

A parallelogram is a family of quadrilateral which has its two opposite sides to be equal and parallel.

In the given parallelogram, the following proof can be deduced.

1. QS bisects RT: <RSQ ≅ <TQS                    Given

2. RV ≅ TV                                                      Definition of a bisector

3. <SRQ + < RQT = [tex]180^{o}[/tex]                                  Definition of supplementary angles

4. <RQS ≅ <QST                                             Definition of alternate angles

5. <RVT ≅ <QVT                                             Vertically opposite angles

6. <QRS ≅ <STQ                                             Opposite angles are congruent

7. QRST is a parallelogram                             Proofed