Parallel Lines as Translates of One Another
Read this topicExplanations 4
- Parallel lines: constant distance & translation Non-parallel lines intersect: the distance between the lines becomes 0 at one point. This never happens for parallel lines. The d…
By Hyunwoo (David) Lee, Victor Wang
- Two lines are parallel if (and only if) they are translates of each other; in other words, if we can translate ("slide") one line onto the other. For example, the red and blue l…
By Victor Wang, Expii Team, Vincent Loh, Victor Wang
- Parallel lines are coplanar lines that do not intersect Because parallel lines do not intersect, we say they have the same slope. In the image above, lines xxx and yyy lie in th…
By Elise Molinaro
- Graphing Parallel lines & Translations Consider line MLMLML and line M′L′M'L'M′L′. Line M′L′M'L'M′L′ is simply a parallel translation of line MLMLML. In this case, hhh and kkk a…
By Elise Molinaro
Problems 11
- What is the distance between any two parallel lines?
- If line A and line B are each perpendicular to line C, and the distance between A and B on line C is 555. What is the distance between A and B 101010 units above line C?
- Are the two lines parallel?
- Which of the following is a translation of the parallel lines xxx and mmm?
- Which of the following equations represents line ccc translated two units down?
- Consider the parallel translation above. Find kkk.
- By how many units must you move to get from the D\color{red}{D}D key to the B\color{blue}{B}B key?
- Are the following lines parallel?
- Consider the distance between the window cleaners on the skyscraper. Assumer they are lowered down four windows, what will the distance be between them? Hint: Assume the two lin…
- Which of the following lines shows line kkk translated down two units?
- Lines xxx and yyy are perpendicular to line zzz, and the distance between xxx and yyy on line zzz is 555. What is the distance between lines xxx and yyy 333 units away from line…