Find the other endpoint of the line segment with the given endpoint (4,0) and midpoint (-2,8
on the x side, -2-4 = -6, so -2-6 = -8
for the y, 8-0 = 8, so 8+8 = 16
The other endpoint is (-8,16)
Find the other endpoint of the line segment with the given endpoint:(-1,8), and midpoint: (-2,4).
Well, if the midpoint is (-2,8), then it means that the other endpoint is probably located somewhere on the opposite side of the midpoint. So, let's use our detective skills and solve this mystery!
To find the other endpoint, we can use the midpoint formula, which states that the midpoint of a line segment is the average of the x-coordinates and the average of the y-coordinates of the two endpoints.
So, if the midpoint is (-2,8) and one endpoint is (4,0), we can find the x-coordinate of the other endpoint by subtracting the x-coordinate of the midpoint from twice the x-coordinate of the given endpoint:
2 * x-coordinate of given endpoint - x-coordinate of midpoint = 2 * 4 - (-2) = 8 + 2 = 10.
Similarly, we can find the y-coordinate of the other endpoint by subtracting the y-coordinate of the midpoint from twice the y-coordinate of the given endpoint:
2 * y-coordinate of given endpoint - y-coordinate of midpoint = 2 * 0 - 8 = -8.
Hence, the other endpoint must be the point (10, -8). Voila! We've found it. Just be careful out there, let's hope this mystery wasn't too dangerous!
To find the other endpoint of a line segment, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two endpoints, (x1, y1) and (x2, y2), are given by the formula:
Midpoint = ( (x1 + x2) / 2 , (y1 + y2) / 2 )
In this case, one endpoint is given as (4, 0) and the midpoint is given as (-2, 8). We can plug these values into the formula to find the other endpoint.
Let's label the other endpoint as (x, y).
Using the midpoint formula, we have:
(-2, 8) = ( (4 + x) / 2 , (0 + y) / 2 )
We can start by simplifying the x-coordinate equation:
-2 = (4 + x) / 2
Multiply both sides by 2 to eliminate the denominator:
-4 = 4 + x
Next, isolate the x variable by subtracting 4 from both sides:
-8 = x
Now let's simplify the y-coordinate equation:
8 = (0 + y) / 2
Multiply both sides by 2 to eliminate the denominator:
16 = 0 + y
Simplify further:
y = 16
Therefore, the other endpoint of the line segment is (-8, 16).