how do i find the coordinates of the midpoint of a segment having given the endpoint?
K(-9,3),H(5,7)
K(-9,3),P(x,y),H(5,7).
X = (x1+x2)/2 = (-9+5)/2 = -2.
Y = (y1+y2)/2 = (3+7)/2 = 5.
K(9,3),h(5,7)
To find the coordinates of the midpoint of a line segment when given the endpoints, you can use the midpoint formula. The midpoint formula states that the midpoint is the average of the x-values and the average of the y-values of the endpoints.
Let's apply the midpoint formula to find the coordinates of the midpoint of segment KH with endpoints K(-9,3) and H(5,7):
1. Obtain the x-values of the endpoints.
x₁ = -9 (from K(-9,3))
x₂ = 5 (from H(5,7))
2. Calculate the average of the x-values:
(x₁ + x₂) / 2 = (-9 + 5) / 2 = -4 / 2 = -2
3. Obtain the y-values of the endpoints.
y₁ = 3 (from K(-9,3))
y₂ = 7 (from H(5,7))
4. Calculate the average of the y-values:
(y₁ + y₂) / 2 = (3 + 7) / 2 = 10 / 2 = 5
Therefore, the coordinates of the midpoint of segment KH are (-2, 5).