the midpoint of CD is E (-1 0) one endpoint is C (5 2) what are the coordenates of the other endpoint
To find the coordinates of the other endpoint, we need to use the midpoint formula. The midpoint formula is given by:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
Given that the midpoint of CD is E(-1, 0) and one endpoint is C(5, 2), let's denote the coordinates of the other endpoint as D(x, y).
Using the midpoint formula, we can set up the following equations:
-1 = (5 + x)/2
0 = (2 + y)/2
Solving for x and y:
-2 = 5 + x
x = -7
0 = 2 + y
y = -2
Therefore, the coordinates of the other endpoint D are (-7, -2).
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 (E) between two points (C and D) can be calculated using the average of their x-coordinates and the average of their y-coordinates.
Given that E is the midpoint of CD, and one endpoint is C(5, 2), and the coordinates of the midpoint E are (-1, 0), we can set up the following equations:
Midpoint formula for x-coordinate: (x1 + x2) / 2 = x-coordinate of the midpoint
(x-coordinate of C + x-coordinate of D) / 2 = x-coordinate of E
Midpoint formula for y-coordinate: (y1 + y2) / 2 = y-coordinate of the midpoint
(y-coordinate of C + y-coordinate of D) / 2 = y-coordinate of E
Substituting the known values:
(x-coordinate of C + x-coordinate of D) / 2 = -1
(5 + x-coordinate of D) / 2 = -1
Solving for x-coordinate of D:
5 + x-coordinate of D = -2
x-coordinate of D = -2 - 5
x-coordinate of D = -7
Substituting the known values:
(y-coordinate of C + y-coordinate of D) / 2 = 0
(2 + y-coordinate of D) / 2 = 0
Solving for y-coordinate of D:
2 + y-coordinate of D = 0
y-coordinate of D = 0 - 2
y-coordinate of D = -2
Therefore, the coordinates of the other endpoint D are (-7, -2).
To find the coordinates of the other endpoint, we can use the concept that the midpoint of a line segment divides it into two equal parts.
Given that the midpoint E is (-1, 0) and one endpoint C is (5, 2), we can use the midpoint formula to find the coordinates of the other endpoint.
The midpoint formula is:
Midpoint coordinates (M) = ((x1 + x2) / 2, (y1 + y2) / 2)
Let's substitute the given values:
M = (-1, 0) [Midpoint coordinates]
C = (5, 2) [Coordinates of one endpoint]
Let the coordinates of the other endpoint be (x, y).
Using the midpoint formula, we can set up the equation:
((-1 + x) / 2, (0 + y) / 2) = (5, 2)
Simplifying this equation, we get:
((-1 + x) / 2 = 5 => -1 + x = 2 * 5 => -1 + x = 10 => x = 10 + 1 => x = 11
((0 + y) / 2 = 2 => 0 + y = 2 * 2 => 0 + y = 4 => y = 4
Therefore, the coordinates of the other endpoint are (11, 4).