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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 :)
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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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1What 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?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0They are 90 degrees.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1What are the measures of angles A, B, C, and D? dw:1440008400696:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Correct. 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?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now look at your problem. You know the coordinates of points H and I. You can find the slope of segment HI, right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh I got it. It would be reciprocal of the HI right ?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1The slope, \(m\), of the segment that contains points \((x_1, y_1)\) and \((x_2 , y_2)\) is \(m = \dfrac{y_2  y_1}{x_2  x_1} \)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Once 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.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh okay. I got that. Thank you :)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Remember 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.)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Great. You're welcome.
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