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 ≅ ∠pqv, and ∠pst ≅ ∠pqt. each of the angle pairs are corresponding angles. therefore, corresponding angles are congruent. parallel perpendicular congruent reflected

Explanation:

Step1: Recall translation property

Translations preserve orientation.

Step2: Analyze line relationship

When line a is translated to line b, since orientation is preserved, lines a and b are parallel.

Answer:

A. parallel