a composition of transformations maps pre-image efgh to final image efgh.\nthe first transformation for this…

a composition of transformations maps pre-image efgh to final image efgh.\nthe first transformation for this composition is ________, and the second transformation is a reflection across line c.\n○ a 180° rotation about point g\n○ a 180° rotation about point h\n○ a translation down and to the left\n○ a translation up and to the right

a composition of transformations maps pre-image efgh to final image efgh.\nthe first transformation for this composition is ________, and the second transformation is a reflection across line c.\n○ a 180° rotation about point g\n○ a 180° rotation about point h\n○ a translation down and to the left\n○ a translation up and to the right

Answer

Answer:

a translation down and to the left

Explanation:

Step1: Analyze first transformation

Compare EFGH to E'F'G'H': the shape shifts down/left, no rotation.

Step2: Verify second transformation

Reflect E'F'G'H' over line c to get E''F''G''H'', which matches the final image.

Step3: Eliminate incorrect options

Rotation options would reorient the shape; up/right translation does not match EFGH→E'F'G'H'. Only down/left translation fits.