Question

In triangle ∆PQR and ∆XYZ, PQ = XY, PQ∥XY, QR=YZ and QR∥YZ. Vertices P, Q and R are joined to vertices X, Y and Z respectively Show that (i) quadrilateral PQYX is a parallelogram (ii) quadrilateral QYZR is a parallelogram (iii)PX∥QY and PX=QY (iv) quadrilateral PRZX is a parallelogram

Answer 1

Step-by-step explanation:

In triangle ∆PQR and ∆XYZ, PQ = XY, PQ∥XY, QR=YZ and QR∥YZ. Vertices P, Q and R are joined to vertices X, Y and Z respectively Show that (i) quadrilateral PQYX is a parallelogram (ii) quadrilateral QYZR is a parallelogram (iii)PX∥QY and PX=QY (iv) quadrilateral PRZX is a parallelogram