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28 Mar 2006, 08:18
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Which point is symmetric with point (-5,-2) about the line represented by y=x?
How to approach problems like this ?
How to approach problems like this ?
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28 Mar 2006, 17:06
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I would say draw a graph y=x is a simple diagonal line. What point would be symmetric to (-5, -2). It obviously has to be a point that is the same for x as for y...
I am assuming that it is asking how it is symmetric to the line so then i would say the answer is (5,2) because it is symmetric to the y=x line on the opposite side. draw it out i think it might help
I am assuming that it is asking how it is symmetric to the line so then i would say the answer is (5,2) because it is symmetric to the y=x line on the opposite side. draw it out i think it might help
28 Mar 2006, 22:16
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Ethan
let the symmetric point be (a,b)
We have the midpoint of (a,b) and ( -5,-2) be on the line y=x
---> 1/2( -5+a) = 1/2 ( -2+b) --> a-b= 3 (1)
We also have the slope of the line connecting (-5,-2) and (a,b) be -1 ( since this line is perpendicular to the line y=x)
--> (-2-b)/ (-5- a) = -1 ---> -2-b= 5+ a --> a+b= -7 (2)
Solving (1) and (2) , get a= -2, b= -5
--> the sym point is (-2,-5)
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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
