Asequence of transformations that maps △def to △d′e′f′ is a rotation of 180° about the origin followed by a

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,

step-by-step explanation:

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