The midpoint of a line segment is the point on the line segment that divides the line segment into two equal parts. To find the midpoint of the segment shown below, we need to determine the coordinates of the two endpoints of the segment and then calculate the midpoint by taking the average of the two endpoints.
How to Find the Midpoint of the Segment Shown Below?
The first step in finding the midpoint of the segment shown below is to identify the coordinates of the endpoints of the segment. The coordinates of the endpoints can be found by looking at the graph. In this case, the coordinates of the endpoints are (3, 8) and (7, 2).
Once you have the coordinates of the endpoints, you can calculate the midpoint by taking the average of the two coordinates. To do this, you simply add the x-coordinates together and divide by two, and then add the y-coordinates together and divide by two. In this case, the midpoint is (5, 5).
How Do We Know That the Midpoint Is (5, 5)?
To verify that the midpoint is (5, 5), we can draw a line from the midpoint to each endpoint and make sure that the two lines are equal in length. If the two lines are equal in length, then we know that the midpoint is (5, 5).
People Also Ask
What Is a Midpoint?
A midpoint is a point on a line segment that divides the line segment into two equal parts. The coordinates of the midpoint are the average of the coordinates of the endpoints of the line segment.
What Is the Formula for Finding the Midpoint?
The formula for finding the midpoint of a line segment is to add the x-coordinates of the endpoints together and divide by two, and then add the y-coordinates of the endpoints together and divide by two. The result is the coordinates of the midpoint.
How Do You Find the Midpoint of a Line Segment Without Coordinates?
If you do not have the coordinates of the endpoints, you can still find the midpoint of the line segment by measuring the length of the line segment and then dividing it by two. The point that is halfway between the endpoints is the midpoint.
Finding the midpoint of a line segment is a simple process that requires knowing the coordinates of the endpoints and then taking the average of the coordinates. Once you have the coordinates of the midpoint, you can verify that the two lines from the midpoint to the endpoints are equal in length to make sure that the midpoint is correct.