Poster 7 has vertices V ′ ( 50 , − 40 ) , X ′ ( 30 , − 40 ) , Y ′ ( 30 , − 70 ) , and Z ′ ( 50 , − 70 ) . Which transformations of poster 4 produce the location of poster 7 ?

If the angle bisectors of a pair of opposite angles of a quadrilateral are the opposite sides of a parallelogram formed by the two angle bisectors and two sides of the quadrilateral, is the quadrilateral always a parallelogram? explain your answer.