Determine the missing information in the paragraph proof.
Given: Lines a and intersect at point S. creating 4 angles.
Prove: Corresponding angles are congruent.
We are given that lines a and cintersect at point S.
Translate line a down line c until point S reaches point Q.
Call the new line through Q line b. Because translations
preserve orientation, lines a and b are
. Because
translations preserve angle measure, ZRSU Z ZRQU'. For
the same reason, ZRST ZRQT, UPSU ZPQU', and
ZPST ZPQT. Each of the angle pairs are corresponding
angles. Therefore, corresponding angles are congruent
parallel
perpendicular
congruent
Creflected