Point T is the midpoint of . The coordinate of T is (0, 4) and the coordinate of J is (0, 2). The coordinate of H is:
z
You have the points J...T...H
(0,2)...(0,4) ...(x,y)
Clearly (x,y) = (0,6)
To find the coordinate of point H, we need to determine the position of point H relative to points T and J.
Given that point T is the midpoint of the line segment joining points J and H, we can use the midpoint formula to find the coordinates of H.
The midpoint formula states that the coordinates of the midpoint (M) between two points (x₁, y₁) and (x₂, y₂) can be found using the following formulas:
x-coordinate of M = (x₁ + x₂) / 2
y-coordinate of M = (y₁ + y₂) / 2
In this case, we know that the midpoint T is (0, 4) (x₁ = 0, y₁ = 4) and point J is (0, 2) (x₂ = 0, y₂ = 2). Let's substitute these values into the midpoint formula:
x-coordinate of H = (0 + x₂) / 2
y-coordinate of H = (4 + y₂) / 2
Simplifying further, we have:
x-coordinate of H = x₂ / 2
y-coordinate of H = (4 + y₂) / 2
Since we don't have the value of x₂, we cannot calculate the x-coordinate of point H. However, based on the information given, we know that H must have the same x-coordinate as both T and J (which is 0) since they lie on the same vertical line. Therefore, the x-coordinate of H is 0.
Now, let's calculate the y-coordinate of H:
y-coordinate of H = (4 + 2) / 2
y-coordinate of H = 6 / 2
y-coordinate of H = 3
Therefore, the coordinate of point H is (0, 3).