Question

determine the missing information in the paragraph proof. given: lines a and c intersect at point s, creating 4 angles. prove: corresponding angles are congruent. we are given that lines a and c intersect 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, ∠rsu ≅ ∠rqu. for the same reason, ∠rst ≅ ∠rqt, ∠psu ≅ ∠pqu, and ∠pst ≅ ∠pqt. each of the angle pairs are corresponding angles. therefore, corresponding angles are congruent. parallel perpendicular congruent reflected

Explanation:

Translation is a rigid - motion that preserves orientation. When a line is translated, the original line and the translated line have the same direction, which means they are parallel.

Answer:

parallel