12. the midpoint of CD is E(-1,0) one endpoint is C (5,2). What are the coordinates of the other endpoint?
this is 2019 steve is wrong i don't know the true answer tho
Answer is D = (-7,-2)
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i know the answer is (-7,-2) but how did u get that??
midpoint = (x1+x2 / 2 , y1+y2 / 2)
5 + x2 / 2 = -1
5 + x2 = -2
x2 = -7
2 + y2 / 2 = 0
2 + y2 = 0
y2 = -2
Other endpoint: (-7, -2)
I really need help!
To find the coordinates of the other endpoint, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) are given by:
Midpoint (M) = ((x1 + x2)/2, (y1 + y2)/2)
In this case, we are given that the midpoint is E(-1, 0) and one endpoint is C(5, 2). Let's denote the other endpoint as D(x, y).
Using the midpoint formula, we can set up the following equations:
(-1) = (5 + x)/2 [for the x-coordinate]
0 = (2 + y)/2 [for the y-coordinate]
Now, let's solve these equations to find the values of x and y:
-1 = (5 + x)/2
Multiply both sides of the equation by 2 to simplify:
-2 = 5 + x
Subtract 5 from both sides of the equation:
-7 = x
0 = (2 + y)/2
Multiply both sides of the equation by 2 to simplify:
0 = 2 + y
Subtract 2 from both sides of the equation:
-2 = y
Therefore, the coordinates of the other endpoint D are (-7, -2).
wait no steve was right
thanks!
as with the single dimension, the coordinates of the midpoint of a line in the plane is the average of each coordinate:
((-1+5)/2 , (0+2)/2) = (2,1)