In the rectangular coordinate system above, the line

In the rectangular coordinate system above, the line is the perpendicular bisector of segment AB (not shown), and the x-axis is the perpendicular bisector of segment BC (not shown). If the coordinates of point A are (2,3), what are the coordinates of point C? (–3,–2), (–3,2), (2,–3), (3,–2), (2,3)

2 Explanations

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Aditi S

Hi Mike, Understood your method.

Can you explain - How do we know if this is a mirror line?? Does y= x, indicate the same?

Regards
Aditi

Jun 25, 2016 • Comment

Cydney Seigerman, Magoosh Tutor

Hi Aditi :)

Good question! Yes, the fact that y = x indicates that we're dealing with a mirror line. For more about what we can conclude knowing that y = x, I definitely recommend checking out the following blog post:

http://magoosh.com/gmat/2012/gmat-math-special-properties-of-the-line-y-x/

Hope this helps :)

Jun 25, 2016 • Reply

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Mike McGarry, Magoosh Tutor