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y is the midpoint of xz.x has coordinates (8,-10)and y has coordinates(-12,1)find the coordinates of z

User Bdparrish
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1 Answer

2 votes

Answer:(-32,12)

Explanation:

Find the change in x and change in y from point x to point y. In this case it is -20 for x and +11 for y. Since the definition of a midpoint splits the line into 2 equal segments you can use the changes to calculate z. Use the midpoint coordinates and add the changes like this: (-12-20,1+11) and you will get (-32,12) for z.

User Valerio Crini
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