A sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 180° about the origin followed by a

Answer:
it followed the rotation about 180 and then 1 unit left,
Step-by-step explanation:
Given : Graph A sequence of transformations that maps △DEF to △D′E′F′ is a rotation
To find : Which transformation rule is applied .
Solution : We have given graph of triangle DEF
D ( -2 ,-1 )
E (-2 ,-4)
F( -1 , -1 )
Transformed in to D'E'F'.
D ( -2 ,-1 )→→→ D' (1 ,1)
E (-2 ,-4)→→→E' ( 1 ,4)
F( -1 , -1 )→→→ F' (0 ,1)
By the 180° rotation rule : ( x ,y) →→ (-x , - y)
D ( -2 ,-1 )→→→ D' (2 ,1)
E (-2 ,-4)→→→E' ( 2 ,4)
F( -1 , -1 )→→→ F' (1 ,1)
Transformation rule ( x ,y) →→ (x-h , y) it translate to h unit left.
D' (2-1 ,1)→→→ D' (1 ,1)
E' (2-1 ,4)→→→E' ( 1 ,4)
F'( 1 -1, 1 )→→→ F' (0 ,1)
Therefore, it followed the rotation about 180 and then 1 unit left,