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anonymous

  • one year ago

in the diagram right above, HIJK is a rectangle. I mainly need help to find with slope of IJ and KH. I can not figure out coordinates of J and K. Here is image of problem http://imgur.com/dCTlntx Thanks :)

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  1. mathstudent55
    • one year ago
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    What do you know about any two consecutive sides of a rectangle? I mean, what angle is formed by any two consecutive sides of a rectangle?

  2. anonymous
    • one year ago
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    They are 90 degrees.

  3. mathstudent55
    • one year ago
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    What are the measures of angles A, B, C, and D? |dw:1440008400696:dw|

  4. mathstudent55
    • one year ago
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    Correct. Since every angle in a rectangle is 90 degrees, that means every angle is a right angle. That makes any two consecutive sides perpendicular. Ok so far?

  5. anonymous
    • one year ago
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    Yup

  6. mathstudent55
    • one year ago
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    Now look at your problem. You know the coordinates of points H and I. You can find the slope of segment HI, right?

  7. anonymous
    • one year ago
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    Yes.

  8. anonymous
    • one year ago
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    Oh I got it. It would be reciprocal of the HI right ?

  9. mathstudent55
    • one year ago
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    The slope, \(m\), of the segment that contains points \((x_1, y_1)\) and \((x_2 , y_2)\) is \(m = \dfrac{y_2 - y_1}{x_2 - x_1} \)

  10. mathstudent55
    • one year ago
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    Once you find the slope of HI, the slopes of the two sides KH and JI is the negative reciprocal of the slope of segment HI.

  11. anonymous
    • one year ago
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    Oh okay. I got that. Thank you :)

  12. mathstudent55
    • one year ago
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    Remember the negative along with the reciprocal. If a line has slope 3/4, a perpendicular line has slope -4/3. (Flip the fraction and change the sign.)

  13. mathstudent55
    • one year ago
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    Great. You're welcome.

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