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23 October, 10:47

egment AB falls on line 2x - 4y = 8. Segment CD falls on line 4x + 2y = 8. What is true about segments AB and CD?

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  1. 23 October, 11:01
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    The line segments AB and CD are perpendicular to each other.

    Step-by-step explanation:

    Segment AB falls on line 2x - 4y = 8.

    Rearranging the equation into slope-intercept form we get, ... (1)

    Therefore, slope of the line segment AB is

    Now, the segment CD falls on line 4x + 2y = 8.

    Rearranging the equation into slope-intercept form we get, ... (2)

    Therefore, the slope of the line segment CD is, N = - 2

    So, M * N =

    Hence, we can conclude that the line segments AB and CD are perpendicular to each other
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