What are the coordinates of point B?

AI Thread Summary
The discussion revolves around determining the coordinates of point B given the midpoint and the coordinates of point A. The midpoint formula indicates that the average of the coordinates of points A and B equals the midpoint. For point A at (2,6) and midpoint at (0,0), calculations reveal that point B's coordinates are (-2,-6). Additionally, the conversation touches on identifying the quadrant of point S, concluding that it must be in Quadrant IV. Overall, the midpoint concept is crucial for solving these coordinate problems.
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Erm, I have another problem. This question confused me, I'm not sure how to do it. Help would be apprecaited. Thanks
The midpoint of line QS is the origin. Point Q is located in Quadrant II. What quadrant contains point S?
Same with this one.
M(5,12) is the midpoint of line AB. The coordinates of point A are (2,6). What are the coordinates of point B?
 
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Draw a picture. Take a point Q in the second quadrant, and draw a line from Q to the origin. Into which quadrant can you extend the line (so that it is still straight)? Now, which quadrant must S lie in?
 
Quadrent 4 I think. Ok, I think I get it. Thanks
 
In general, the midpoint of the line segment from (x0,y0) to (x1,y1) is the "average" of the two: ((x0+x1)/2, (y0+y1)/2).

In this case you are told that the midpoint of the line segment from A:(2,6) to the point B (call its coordinates (x,y)) is (0,0). That is (2+ x)/2= 0 and (6+y)/2= 0. It should be easy to see that B is (-2, -6).
 
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