[SPLIT, MOVED] find endpoint, given midpoint and other endpt

navi99

New member
Joined
Jan 15, 2007
Messages
4
How would I do the following?

Find the coordinates of the other endpoint of a segment with given endpoint Q(2, -3) and midpoint M(-6, -4).
 
Plug the given information into the Midpoint Formula that they gave you, and solve for the values of x and y.

If you get stuck, please reply showing how far you have gotten. Thank you.

Eliz.
 
Re: [SPLIT, MOVED] find endpoint, given midpoint and other e

Hello, navi99!

Did you make a sketch? . . . You could "eyeball" the answer.


Find the coordinates of the other endpoint of a segment with given endpoint Q(2, -3)
and midpoint M(-6, -4).
Code:
                                  |
      ----------------------------+---------
                                  |
                                  |   Q
                      M           |   *
      P               *           | (2,-3)
      *            (-6,-4)        |
    (?,?)                         |

To get from Q\displaystyle Q to M\displaystyle M, we "walk" 8 units left and 1 unit down.

It's reasonable to walk 8 more units left and 1 more unit down to locate point P\displaystyle P.

Therefore, point P\displaystyle P is (14,5)\displaystyle (-14,-5).

 
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