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Heres my scenario.. I have two parallel lines segments,AB and CD of equal length. If A,B are known, how do I find C and D?!

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closed as off-topic by Davide Giraudo, Grigory M, Shuchang, Dan Rust, Dennis Gulko Dec 23 '13 at 12:26

This question appears to be off-topic. The users who voted to close gave this specific reason:

  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Davide Giraudo, Grigory M, Shuchang, Dan Rust, Dennis Gulko
If this question can be reworded to fit the rules in the help center, please edit the question.

$x_3,y_3$ can be arbitrary. Then let $x_4=x_3+x_2-x_1, y_4=y_3+y_2-y_1$.

If you more specifically want $ABDC$ to be a rectangle, select $t$ arbitrary, then let $x_3=x_1+t(y_2-y_1), y_3=y_1+t(x_1-x_2)$ in the above.

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You cannot, since there are infinitely many lines parallel to AB.

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sorry! my bad.. the perpendicular distance between the lines is known.. should have mentioned that in the question.. – SatheeshJM Jan 23 '13 at 9:48
you want ABCD be a rectangle? On which side of AB you want CD to stay? – Emanuele Paolini Jan 23 '13 at 10:12

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