M is the midpoint of XZ. For each pair of points given, find the coordinates of the third point 1) X(2,8), M(-2, 2)
xM = (xX + xZ) / 2
xZ = (2 * xM) - xX = (2 * -2) - 2
find yZ the same way
It don't make no sense o-o
To find the coordinates of the third point, we can use the midpoint formula.
The midpoint formula states that the coordinates of the midpoint (M) between two points, (x1, y1) and (x2, y2), can be found by taking the average of the x-coordinates and the average of the y-coordinates.
Let's apply this formula to find the coordinates of the third point.
Given:
X(2, 8)
M(-2, 2)
Let's label the coordinates of the third point as (x3, y3).
Using the midpoint formula, we have:
x3 = (x1 + x2) / 2
y3 = (y1 + y2) / 2
Substituting the given values into the formula, we get:
x3 = (2 + (-2)) / 2 = 0/2 = 0
y3 = (8 + 2) / 2 = 10/2 = 5
Therefore, the coordinates of the third point are (0, 5).