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The midpoint of a segment is (−6,−5) and one endpoint is (1,3). Find the coordinates of the other endpoint.
A. (8, 11)
B. (8, -13)
C. (-13, -13)
D. (-13, 11)

Respuesta :

C. (-13,-13)
You take the x of the midpoint and equal it to the formula of the midpoint so it will be -6 = 1+x/2 so 1st you times 2 by 6 because you wanna get rid of 2 so it will -12 Then when you move 1 so x is alone it will be -1 so -12-1= -13
Same thing for y
JeanaShupp

Answer: C. (-13, -13)

Step-by-step explanation:

The midpoint (x,y) of a line segment having two end points (a,b) and (c,d) is given by :-

[tex]x=\dfrac{a+c}{2}\ ;\ y=\dfrac{b+d}{2}[/tex]

Given : The midpoint of a segment is (-6,-5) and one endpoint is (1,3).

Let the coordinates of other end point be (a,b) then , we have

[tex]-6=\dfrac{a+1}{2}\ ;\ -5=\dfrac{b+3}{2}\\\\\Rightarrow\ a+1=2\times-6\ ;\ b+3=2\times-5\\\\\Rightharrow\  a+1=-12\ ;\ b+3=-10\\\\\Rightarrow\ a=-12-1\ ;\ b=-10-3\\\\\Rightarrow\ a=-13,\ ;\ b=-13[/tex]

Hence, the coordinates of the other endpoint = (-13,-13)

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