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What does midpoint formula do?

It finds the co-ordinates of the midpoint of a line segment, given the co-ordinates of the two endpoints.


Does the midpoint of a given line segment must lieon the given line segment?

Yes, the midpoint of a given line segment must lie on the line segment itself. The midpoint is defined as the point that divides the segment into two equal parts, which means it is located directly between the endpoints of the segment. Therefore, by definition, the midpoint is always a point on the line segment.


Is The midpoint of a given line segment must lie on the given line segment?

Yes, the midpoint of a given line segment must lie on that line segment. The midpoint is defined as the point that is equidistant from both endpoints of the segment, effectively dividing it into two equal parts. Therefore, by definition, the midpoint cannot exist outside of the line segment itself.


How do you find the midpoint of the line segment with given endpoints?

To find the midpoint of a line segment with given endpoints ( A(x_1, y_1) ) and ( B(x_2, y_2) ), you can use the midpoint formula: ( M\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right) ). This formula averages the x-coordinates and the y-coordinates of the endpoints to determine the coordinates of the midpoint ( M ).


To construct the midpoint of a given line segment fold the paper so that the given line segment lies on itself and?

the endpoints lie on each other


How do you find the midpoint of a segment with the endpoints -4 -14 -229?

There are only three endpoint given and these are not sufficient to define a segment of a line.


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.


What to find the midpoint of a segment on the coordinate plane you find the averages of the endpoints?

To find the midpoint of a segment on the coordinate plane, you take the coordinates of the endpoints, which are typically given as (x₁, y₁) and (x₂, y₂). The midpoint M can be calculated using the formula M = ((x₁ + x₂)/2, (y₁ + y₂)/2). This process averages the x-coordinates and the y-coordinates of the endpoints to determine the coordinates of the midpoint.


What point halfway between two endpoints of a line segment?

The point halfway between two endpoints of a line segment is called the midpoint. It can be calculated by averaging the coordinates of the two endpoints. For example, if the endpoints are A(x₁, y₁) and B(x₂, y₂), the midpoint M is given by M((x₁ + x₂)/2, (y₁ + y₂)/2). This point divides the line segment into two equal lengths.


How do you find the midpoint of a line segment graphed on a coordinate plane?

To find the midpoint of a line segment on a coordinate plane, you can use the midpoint formula. If the endpoints of the segment are given as ((x_1, y_1)) and ((x_2, y_2)), the midpoint ((M_x, M_y)) is calculated as (M_x = \frac{x_1 + x_2}{2}) and (M_y = \frac{y_1 + y_2}{2}). This formula gives you the coordinates of the point that is exactly halfway between the two endpoints.


How to find the midpoint of a segment?

You find the midpoint of a line segment by dividing its length by two. If you are given two sets of 'x' and 'y' coordinates as the endpoints of the segment on a graph, then you need to use the formula [X1 plus X2]/2, [Y1 plus Y2]/2 to find the coordinates of the midpoint.


Which method could you use to calculate the x-coordinate of the midpoint of a horizontal line segment with endpoints at (00) and (200)?

To calculate the x-coordinate of the midpoint of a horizontal line segment with endpoints at (0,0) and (200,0), you can use the midpoint formula. The formula states that the midpoint ( M ) is given by ( M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) ). For the given endpoints, substitute ( x_1 = 0 ), ( x_2 = 200 ), ( y_1 = 0 ), and ( y_2 = 0 ). Thus, the x-coordinate of the midpoint is ( \frac{0 + 200}{2} = 100 ).