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.

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 Link

shivishivangi1679 shivishivangi1679 · Answer 2 · 2022-06-24T17:27:02+02:00

Line a and line b are parallel to each other.

When we translate line a to produce line b, all points on line a will be the same distance from their corresponding points on line b.

What is the main property of parallel line?

Line a and line b will never intersect, which is the definition of parallel.

When we will translate line a, then the new line b will be formed.

Now, as translation preserves orientation to each point on line a, it will be equidistant from line b.

Therefore, line a and line b are parallel to each other.

Learn more about parallel lines;

https://brainly.com/question/4039333

#SPJ5