In order to prove that QRST is a parallelogram, we can fill the table with the following statements and reasons:
3- Statement:
RS is parallel to QT
Reason:
RSQ and TQS are alternate interior angles
4- Statement:
Triangles RSV and TQV are congruent
Reason:
case AAS of congruency
5- Statement:
QV = VS
Reason:
Corresponding sides of congruent triangles
6- Statement:
Triangles RVQ and SVT are congruent
Reason:
Case LAL of congruency
7- Statement:
QRST is a parallelogram
Reason:
Opposite sides are parallel and congruent