Point T is the midpoint of line JH. The coordinate of T is (0, 5) and the coordinate of J is (0, 2). The coordinate of H is:
(0, 8)
(0, 3)
(0, 7)
(0, 11)
0,8
0,8
To find the coordinate of point H, we need to use the midpoint formula. The formula for finding the midpoint of a line segment is:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Given that point T is the midpoint of line JH, we can substitute the values of T (0, 5) and J (0, 2) into the formula:
(0, 5) = ((0 + x2) / 2, (2 + y2) / 2)
Simplifying this equation, we get:
0 = (0 + x2) / 2 --> 0 + x2 = 0 --> x2 = 0
5 = (2 + y2) / 2 --> 10 = 2 + y2 --> y2 = 10 - 2 --> y2 = 8
Therefore, the coordinate of point H is (0, 8). Option 1, (0, 8), is the correct answer.
To find the coordinate of point H, we need to understand that a midpoint is the point that lies exactly in the middle of a line segment, dividing it into two equal parts. In this case, point T is the midpoint of line JH, so the distance from J to T is the same as the distance from T to H.
We are given the coordinates of T as (0, 5) and J as (0, 2). The x-coordinate of point T is the same as the x-coordinate of point J because they are both 0. However, the y-coordinate of T is greater than the y-coordinate of J by 3 units (5 - 2 = 3).
To find the y-coordinate of point H, we need to add the same difference of 3 units to the y-coordinate of T. Therefore, the y-coordinate of H would be 5 + 3 = 8.
So, the coordinate of H is (0, 8).