Select all transformations that must take any point A to any point B. a

Rotation of 180∘ around the midpoint of segment AB

b

Reflection across the line AB

c

Reflection across the perpendicular bisector of segment AB

d

Translation by the directed line segment BA

e

Rotation of 180∘ around B

f

Translation by the directed line segment AB

g

Rotation of 180∘ around A