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.

Answer 1

Answer:

Parallel

Step-by-step explanation:

When we translate line a to create line b, all points on line a will be the same distance from their corresponding points on line b.  This means they will never intersect, which is the definition of parallel.

Answer 2

The test i took said the answer was Parallel