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If a point is equidistant from the endpoints of a segment then it must be the midpoint of the segment?

Yes, if a point is equidistant from the endpoints of a segment, it must be the midpoint of that segment. This is because the midpoint is defined as the point that divides the segment into two equal lengths, making it the only point that maintains equal distance to both endpoints. Therefore, being equidistant from both endpoints confirms that the point is indeed the midpoint.


If a point is equidistant from the endpoints of a segment, then it must be the midpoint of the segment?

Yes


When a point is equidistant from the two endpoints of a line segment is it called?

A point that is equidistant from the two endpoints of a line segment is called the midpoint. The midpoint divides the line segment into two equal parts and can be calculated by averaging the coordinates of the endpoints. In geometric terms, it is the point that lies on the segment at its center.


Why can a line segment only have one midpoint?

There is only one point on the line segment, which is equidistant from the endpoints.


What is the mid point?

The midpoint is the point that divides a line segment into two equal parts. It is equidistant from the endpoints of the line segment.


What is every point in a plane that is equidistant from the endpoints of a segment?

Every point in a plane that is equidistant from the endpoints of a segment lies on the perpendicular bisector of that segment. The perpendicular bisector is a line that is perpendicular to the segment and passes through its midpoint. Therefore, any point on this line will maintain equal distances to both endpoints of the segment.


How do you describe the midpoinnt of a line segment?

A line segment is defined as having endpoints with the midpoint of the line at its centre


If a point is equidistant from the endpoints of a segment then it is on?

on the perpendicular bisector of the segment.


If a point on the perpendicular bisector of a segment, then it is?

Equidistant from the endpoints of the segment.


What is a point on a segment that is halfway between the two endpoints?

A point on a segment that is halfway between the two endpoints is called the midpoint of the segment. It is the point that divides the segment into two equal parts.


What point can be found by taking the average of the endpoints of the line segment?

The average of the endpoints of a line segment can be found by calculating the midpoint. This is done by taking the coordinates of the two endpoints, adding them together, and then dividing by two. For example, if the endpoints are ( (x_1, y_1) ) and ( (x_2, y_2) ), the midpoint is given by ( \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right) ). The midpoint represents the point that is equidistant from both endpoints.


If a point is on the perpendicular bisector of a segment?

then it is equidistant from the endpoints of the segment- apex