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The midpoint of CD¯¯¯¯¯
is E(−1,0)
. One endpoint is C(5,2)
. What are the coordinates of the other endpoint?
(2 points)
To find the coordinates of the other endpoint of CD¯¯¯¯¯, we can use the midpoint formula.
The midpoint formula states that the coordinates of the midpoint (M) of a line segment with endpoints (x1, y1) and (x2, y2) are given by:
M = ((x1 + x2)/2 , (y1 + y2)/2)
In this case, we are given the midpoint E(-1, 0) and one endpoint C(5, 2).
Let the other endpoint be D(x, y)
Using the midpoint formula, we can set up the following equations:
x + 5 = 2*(-1) [x1 + x2 = 2*(-1)]
y + 2 = 2*0 [y1 + y2 = 2*0]
Simplifying these equations, we get:
x + 5 = -2
y + 2 = 0
Solving for x and y, we find:
x = -2 - 5 = -7
y = 0 - 2 = -2
Therefore, the coordinates of the other endpoint D are (-7, -2).
To find the coordinates of the other endpoint, we can use the midpoint formula.
The midpoint formula is:
Midpoint = ( (x1 + x2)/2 , (y1 + y2)/2 )
Given:
Midpoint E(−1,0)
Endpoint C(5,2)
Let the coordinates of the other endpoint be D(x, y).
Using the midpoint formula, we can set up the following equations:
x = (5 + x)/2
0 = (2 + y)/2
Simplifying the equations:
2x - x = 10
2y - 0 = 0
2x = 10
2y = 0
Solving for x and y:
x = 10/2
y = 0/2
x = 5
y = 0
Therefore, the coordinates of the other endpoint D are (5, 0).
To find the coordinates of the other endpoint, we need to use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) is given by the following formula:
Midpoint = [(x1 + x2) / 2, (y1 + y2) / 2]
In this case, the midpoint is E(-1, 0) and one endpoint is C(5, 2). Let's use the midpoint formula to find the coordinates of the other endpoint.
Let's assign the coordinates of the other endpoint as (x, y) and use the midpoint formula:
Midpoint = [(x1 + x2) / 2, (y1 + y2) / 2]
Substituting the given values:
(-1, 0) = [(5 + x) / 2, (2 + y) / 2]
Next, let's solve for x and y:
To find x:
(-1, 0) = (5 + x) / 2
Multiply both sides of the equation by 2 to get rid of the fraction:
-2 = 5 + x
Subtract 5 from both sides to isolate x:
-2 - 5 = x
-7 = x
So the x-coordinate of the other endpoint is -7.
To find y:
(-1, 0) = (2 + y) / 2
Multiply both sides of the equation by 2 to get rid of the fraction:
-2 = 2 + y
Subtract 2 from both sides to isolate y:
-2 - 2 = y
-4 = y
So the y-coordinate of the other endpoint is -4.
Therefore, the coordinates of the other endpoint are (-7, -4).