D is a point on side QR of `DeltaPQR` such that PD`bot`QR. Will it be correct to say that `DeltaPQD~DeltaRPD`? Why?

Explanation

False
In `DeltaPOD and DeltaRPD`,
PD=PD [common side]
`anglePDQ=anglePDR` [each `90^(@)`]

Here, no other sides or angles are equal, so we can say that `DeltaPQD` is not similar to `DeltaRPD`.
But, if `angleP=90^(@)`, then `angleDPQ =anglePRD`
[each equal to `90^(@)`-`angletheta` and by ASA similarity criterion, `DeltaPQD~DeltaRPD`]