Question #57dc3

1 Answer
Jan 4, 2017

#(x,y)->(x+3,y-4)# translates
#(x,y)->(-x,-y)# rotates

Explanation:

If two figures are congruent in the plane, then they can be superposed exactly by a set of translations and rotations. The transformations

#(x,y)->(3x,3y)# expands
#(x,y)->(0.4x,0.4y)# shrinks

and the transformations

#(x,y)->(x+3,y-4)# translates
#(x,y)->(-x,-y)# rotates

so those two last transformations generate congruent equivalents.