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
2 answers:
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.
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Answer:
Step-by-step explanation:
RHS = (1 +Sec Ф)(1 - Cos Ф)
= 1*1 - 1*Cos Ф + Sec Ф *1 - Sec Ф *Cos Ф
= 1 - Cos Ф + Sec Ф - 1 {Sec Ф = )
=Sec Ф - Cos Ф
= - Cos Ф
= Sin Ф* tan Ф = LHS