To determine the coordinates of point J on segment AB such that the ratio of AJ to JB is 1:1, we need to find the midpoint of segment AB. The coordinates of point J will be equal to the coordinates of the midpoint.
The midpoint formula is given by:
\[ \text{Midpoint} (M) = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
However, since the specific coordinates of points A and B are not provided in the question, I can guide you on how to find point J if you have the coordinates of A (x₁, y₁) and B (x₂, y₂).
- Add the x-coordinates of A and B and divide by 2 to find the x-coordinate of J.
- Add the y-coordinates of A and B and divide by 2 to find the y-coordinate of J.
Please provide the coordinates of points A and B if you need further assistance calculating point J. Alternatively, if you can visualize or refer to the image mentioned, locate the midpoint, which will give you the coordinates of J. If the midpoint is at one of the provided options, that will be your answer.
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