Luis graphs trapezoid PQRS , in which sides PQ and RS are parallel and 8 inches apart. He then reflects the figure across the y -axis to create trapezoid P′Q′R′S′ . How far apart are the sides P′Q′ and R′S′ ?

When a figure is reflected across the y-axis, its x-coordinates change sign.

Since the sides PQ and RS are parallel to the y-axis, their distance apart remains the same after the reflection. Therefore, the sides P'Q' and R'S' will also be 8 inches apart.