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Allisa [31]
3 years ago
15

The midpoint of CD is M=(1, 2). One endpoint is C = (6, -2).

Mathematics
1 answer:
Zina [86]3 years ago
8 0

Answer: Endpoint = (-4,6)

Step-by-step explanation:

To find any endpoint use the formula \frac{x_1+x_2}{2} = Xmp    \frac{y_1+y_2}{2} =Ymp

\frac{6+x_2}{2} = 1          \frac{-2+y_2}{2} =2    

multiply each by 2  to simplify

\frac{6+x_2}{2*2} = 1*2 = {6+x_2}= 2    \frac{-2+y_2}{2*2} =2*2 = -2+y_2=4 take the equations and simplify

6+x_{2} = 2                          -2+y_{2} = 4  =  

-6       -6                          +2       +2

   x_{2} = -4                               y_{2} =  6

To check use the Midpoint formula

\frac{-4+6}{2} , \frac{6-2}{2}  = \frac{2}{2} , \frac{4}{2}  = (1,2)

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