Find the coordinates of the midpoint of the segment whose endpoints are H(5, 13) and K(7, 5).
Mid point (X2+x1)/2 and (y2+y1)/2
Which is
X1=5 y1=13
X2=7 and y2=5
H(5, 13), M(x, y), K(7, 5).
x-5 = 1/2(7-5)
X = 6.
y-13 = 1/2(5-13).
Y =
To find the coordinates of the midpoint of a line segment, we can use the midpoint formula. The formula for finding the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
Let's apply this formula to find the midpoint of the segment with endpoints H(5, 13) and K(7, 5).
Using the formula, we have:
Midpoint = ((5 + 7)/2, (13 + 5)/2)
= (12/2, 18/2)
= (6, 9)
Therefore, the coordinates of the midpoint of the segment with endpoints H(5, 13) and K(7, 5) are (6, 9).
To find the coordinates of the midpoint of a segment, we can use the midpoint formula. The midpoint formula states that the midpoint of a segment with endpoints (x1, y1) and (x2, y2) is given by:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
In this case, the endpoints of the segment are H(5, 13) and K(7, 5). Let's substitute these values into the formula:
Midpoint = ((5 + 7) / 2, (13 + 5) / 2)
Simplifying this expression gives us:
Midpoint = (12 / 2, 18 / 2)
Midpoint = (6, 9)
Therefore, the midpoint of the segment with endpoints H(5, 13) and K(7, 5) is (6, 9).