Performing a sequence where a reflection is performed first followed by a translation is the same as performing the same translation followed by the same reflection. true or false

false

Step-by-step explanation:

For example :- Consider a point R=(3,4) and it is reflected across y axis then the image becomes R'(-3,4) and after that it is translated by moving h units  to right and h units up such that (x,y)→(x+h,y+h)

Then R" becomes (-3+h,4+h)

On reverse the sequence, let point R (3,4) is translated such that the image becomes R'(3+h,4+h) and after that it is reflected across y axis, the image will become R"(-(3+h),4+h)

But -3+h≠ -(3+h)