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

Parallel.

Step-by-step explanation:

Given: Lines a and c intersect at point S, creating 4 angles.

To 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.

We know that translations preserve orientation then every point on line b is equidistant from every points on line a.

Therefore,  lines a and b are parallel by the definition of parallel lines.

Hence, the complete statement is Because translations preserve orientation, lines a and b are parallel.

d

step-by-step explanation:

a

step-by-step explanation: