Is there a series of rigid transformations that could map δqrs to δabc? if so, which transformations could be used?

a no, δqrs and δabc are congruent but δqrs cannot be mapped to δabc using a series rigid transformations.

b no, δqrs and δabc are not congruent.

c yes, δqrs can be translated so that r is mapped to b and then rotated so that s is mapped to c.

d yes, δqrs can be translated so that q is mapped to a and then reflected across the line containing qs.