The midpoint formula is: [(x1 + x2)/2, (y1 + y2)/2].
If we denote the coordinates of the point C as (x1, y1) = (2, 6), and the coordinates of the point D as (x2, y2) = (4, 0), we can find the coordinates of the midpoint by using the above formula. So,
[(x1 + x2)/2, (y1 + y2)/2] = [(2 + 4)/2, (6 + 0)/2] = (3, 3)
the endpoints lie on each other
To calculate the x-coordinate of the midpoint of a horizontal segment, you simply take the sum of x-coordinate of the endpoints of the horizontal segment and divide this by two. An example is if one is given endpoints with th x and y coordinates 2,3 and 5,6. To find the midpoint of the x-coordinates add 2 and 5 and divide this by 2, or 7/2.
If you are only given one endpoint and a midpoint, you know what the middle of the line segment is. Since the midpoint is half of what the line segment's length is, all you have to do is find the distance between the endpoint given and the midpoint, then add that coordinate to your midpoint and get your other endpoint. For example: Endpoint A: (4,5) Midpoint: (6,8) Distance between: (2,3) Add (2,3) to (6,8) and get Endpoint B: (8,11).
Finding the midpoint of a segment Drawing a perpendicular line segment from a given point to a given segment Drawing a perpendicular line segment through a given point on a given segment Drawing a line through a given point parallel to a given line
If you mean endpoint (6, 9) and midpoint (7, 6) then the other endpoint is (8, 3)
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 ).
It finds the co-ordinates of the midpoint of a line segment, given the co-ordinates of the two endpoints.
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.
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.
the endpoints lie on each other
There are only three endpoint given and these are not sufficient to define a segment of a line.
(0.5, 2)
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.
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.
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.
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 ).
To calculate the x-coordinate of the midpoint of a horizontal segment, you simply take the sum of x-coordinate of the endpoints of the horizontal segment and divide this by two. An example is if one is given endpoints with th x and y coordinates 2,3 and 5,6. To find the midpoint of the x-coordinates add 2 and 5 and divide this by 2, or 7/2.