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 l

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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 l

ine 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

Mathematics

2 answers:

Pavel [41] · Answer 1 · 2022-01-21T20:23:13+03:00

Answer:

The lines a and b are parallel

Step-by-step explanation:

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

Now, as translation preserves orientation each point on line a will be equidistant from line b , thus holding the condition and satisfying the property of two parallel lines.

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

icang [17] · Answer 2 · 2022-01-21T22:29:19+03:00

Answer:

parallel

Step-by-step explanation:

Knowing that translations preserve orientation, then the angle formed in the intersection of lines a and c, and in the intersection of lines b and c are the same. If two different lines form the same angle when intercepting a third different line, then they are parallel.