Find the coordinates of the midpoint of the segment whose endpoints are H(3, 7) and K(7, 3).
the average of the endpoints: (5,5)
To find the coordinates of the midpoint of a line segment, we can use the midpoint formula.
The midpoint formula is:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
Let's substitute the given coordinates into the formula:
For H(3, 7),
x1 = 3
y1 = 7
For K(7, 3),
x2 = 7
y2 = 3
Now, let's find the midpoint:
Midpoint = ((3 + 7)/2, (7 + 3)/2) = (10/2, 10/2) = (5, 5)
So, the coordinates of the midpoint of the segment with endpoints H(3, 7) and K(7, 3) are (5, 5).
To find the coordinates of the midpoint of a segment, you can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint can be found by taking the average of the x-coordinates and the average of the y-coordinates of the endpoints.
In this case, the coordinates of the endpoints are H(3, 7) and K(7, 3).
To find the x-coordinate of the midpoint, you add the x-coordinates of the endpoints and divide by 2:
x-coordinate of midpoint = (3 + 7) / 2 = 10 / 2 = 5.
To find the y-coordinate of the midpoint, you add the y-coordinates of the endpoints and divide by 2:
y-coordinate of midpoint = (7 + 3) / 2 = 10 / 2 = 5.
Therefore, the coordinates of the midpoint of the segment with endpoints H(3, 7) and K(7, 3) are (5, 5).