Explain how the pattern of chairs in a movie theater can be described using translations.

reflection over the x-axis as wells as reflected over the y-axis and rotated 90 degrees counter clockwise and clockwiseetc.

Since the chairs all have the same orientation, any chair in a row can be described as a horizontal translation of any other chair in that row. Likewise, any row of chairs can be described as a translation of any other row of chairs up and back or down and forward.