Question

) Draw a rectangle ABCD with base 4 cm and diagonal BD = 5 cm. Measure CB. Take any
point P on AD. Join BP. From C draw a line
parallel to BP to meet AP produced at Q.​

Answer 1

According to question

in triangle DQC and triangle PAB

CD = AB      (sides of rectangle)

CQ is parallel to BP

Also
Angle QCD = Angle PBC
thus
traingles are similar 
so we can say that


PBQC is a parallelogram