The midpoint of a segment is the point that divides the segment into two equal parts, meaning it is equidistant from both endpoints. Mathematically, if the endpoints of the segment are represented by coordinates ((x_1, y_1)) and ((x_2, y_2)), the coordinates of the midpoint can be calculated using the formula (\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)). This property is fundamental in geometry and helps in various applications, including bisecting segments and constructing geometric shapes.
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If your question was: Does a midpoint bisect a segment? Then yes it does... It divides it in half.
To find the midpoint of a segment with endpoints at (-15) and (55), you can use the midpoint formula: ((x_1 + x_2) / 2). Substituting the values, the midpoint is ((-15 + 55) / 2 = 40 / 2 = 20). Therefore, the midpoint of the segment is (20).
The 'x' coordinate of the midpoint is the average of the 'x' coordinates of the segment's ends. The 'y' coordinate of the midpoint is the average of the 'y' coordinates of the segment's ends.
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The triangle midpoint theorem states that the line segment is parallel to the third side and is congruent to one half of the third side.
A line that intersects a segment at its midpoint bisects the segment.
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A point on a line segment that divides the segment into two equal parts is a midpoint.
We learned that the midpoint of a segment divides that segment equally.
If your question was: Does a midpoint bisect a segment? Then yes it does... It divides it in half.