A tennis court has a baseline at each end. One is labeled in the picture. Which part of the tennis court is equidistant from the midpoints of the two baselines? Explain.
The part of the tennis court that is equidistant from the midpoints of the two baselines is the center of the court.
To understand why the center is equidistant from the midpoints, we can consider that the midpoints of the two baselines divide the tennis court into four equal sections: two on each side of the centerline.
Since the baselines are parallel to each other, the midpoints of each baseline will be aligned with the centerline of the court. Thus, the centerline bisects the court vertically.
As a result, the center of the court will be the same distance away from both the midpoint of the baseline on the left side and the midpoint of the baseline on the right side. Hence, the center of the court is equidistant from the midpoints of the two baselines.