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On the Cartesian plane, the midpoint between two points A(a,b) and B(c,d)  is M(m,n). If  is moved vertically upwards 8 units and horizontally to the right 2 units, and  is moved vertically downwards 2 units and horizontally to the left 10 units, then the new midpoint between A' and B' is M'(m,n). What is the distance between M and M' ?

Please explain thoroughly because I have tried multiple ways and I think my approach is correct but my work is not. Thank you smiley

 Aug 19, 2018
 #1
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This graph should help.  (Hint: Use Pythagoras on the right-angled triangle.)

 

.

 Aug 19, 2018
 #3
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Thank you :) this helps me visualize the problem a lot more!

thunderkirby  Aug 19, 2018
 #2
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Am I able to delete this post? like the one that i just wrote "am I able to delete this post?"

 Aug 19, 2018
edited by thunderkirby  Aug 19, 2018
edited by thunderkirby  Aug 19, 2018
 #4
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No! Once it is answered by a Moderator you must leave it posted, so that other students can learn from it.

 Aug 19, 2018

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