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, let's consider the definition of midpoint. The midpoint of a line segment is the point that divides the segment into two equal parts. In this case, the midpoints of the two baselines would be the points that divide each baseline into two equal parts.
Since the baselines are parallel and of equal length, the midpoints will be equidistant from each other. In other words, they will be the same distance apart.
Now, let's consider the center of the court. The center is the point that is the same distance from both baselines. If we draw lines connecting the center to the midpoints of each baseline, those lines will be equal in length, creating two congruent triangles.
Since the center is equidistant from the midpoints of the baselines, it is the part of the tennis court that satisfies the given condition. It is the point that is equidistant from the midpoints of the two baselines.