What is the midpoint of a line segment?
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What is the midpoint of a line segment?
In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.
How do you find the midpoint?
To find the midpoint, draw the number line that contains points and . Then calculate the distance between the two points. In this case, the distance between and is . By dividing the distance between the two points by 2, you establish the distance from one point to the midpoint.
What are the coordinates of the midpoint of a segment whose endpoints are?
To find the x-coordinate of the midpoint, use the formula: x = (x1 + x2)/2. To find the y-coordinate, use the same formula, but this time, using the y-coordinates of the endpoints: y = (y1 + y2)/2. Putting these two results together, the midpoint is of the line segment is at (x, y).
What is the midpoint of the line segment with endpoints (- 2 and 4 6?
Explanation: The formula for midpoint = (x1 + x2)/2, (y1 + y2)/2. Substituting in the two x coordinates and two y coordinates from the endpoints, we get (–1 + 3)/2. (4 + 6)/2 or (1, 5) as the midpoint.
What are the coordinates of the midpoint of the segment whose endpoints are (- 4 6 and (- 8 2?
Midpoint = (2−6+8,24+2)=(1,3)
What are the coordinates of the midpoint of AB?
Therefore, the coordinates of the midpoint of AB are (x1+x22, y1+y22). That is the middle point of the line segment joining the points (x1, y1) and (y2, y2) has the coordinates (x1+x22, y1+y22).
What is the midpoint of a line with endpoints (- 3 4 and 10 5?
The midpoint of a line of (-3, 4) and (10, -5) is (7/2, -1/2).
What is the midpoint of the line segment with endpoints 5 1 and 9 7 2 3?
(-2, 3) is the midpoint of the line.
What is the midpoint of the line segment with endpoints 5 1 and 9 7?
What is the formula for finding the midpoint?
Example: Find the Midpoint
- First, add the x coordinates and divide by 2. This gives you the x-coordinate of the midpoint, xM
- Second, add the y coordinates and divide by 2. This gives you the y-coordinate of the midpoint, yM
- Take each result to get the midpoint. In this example the midpoint is (9, 5).
What is the midpoint between A and B?
We have 3 and 9 taken from point A and B respectively. Simply add the two together then divide it by 2 to get the average, a.k.a the midpoint for the x-value. Then, do the same thing with the y-coordinates.
What is the midpoint of a line with endpoints 3 4 and 10 5?
What is the midpoint of 2 and 4?
For example, if you want to find the midpoint between 4 and -2 is 2, which is 4 + -2 (or 4 – 2) divided by 2.
What are the coordinates of the midpoint of line segment AB?
We will discuss here how to use the midpoint formula to find the middle point of a line segment joining the two co-ordinate points. The coordinates of the midpoint M of a line segment AB with end points A (x1, y1) and B (y2, y2) are M (x1+x22, y1+y22).
