Question

lines L, R, and S are coplanar. Suppose L is perpendicular to R and R is perpendicular to S. Is L perpendicular to S? Explain.

Answers

  1. Answer:
    No, L and S are parallel.
    Step-by-step explanation:
    Perpendicular lines go directly opposite from each other, making a + looking arrangement. While parallel lines go in the exact same direction, making a = looking arrangement. The only way both S and L can both be perpendicular to R is if they are both parallel to each other. An illustration by yours truly is placed below to represent it visually.
                        L                                              |
    _______________________________|_____
                                                                        |
                                                                        |
                                                                        |   R
                                                                        |
    _______________________________|_____
                         S                                             |  
                                                                        |
    Now, if this were on the outside of a sphere, then it would be totally possible to have three lines all be parallel, because they can curve with the sides of the sphere and create a triangle with all right angles.

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