The ends of the segment CD have coordinates C (-4; 3) and D (4; -3). Find the coordinates
May 9, 2021 | education
| The ends of the segment CD have coordinates C (-4; 3) and D (4; -3). Find the coordinates of point M – the midpoint of this segment.
The abscissa xm of point M, which is the midpoint of the segment CD, is equal to the half-sum of the abscissas of the ends of this segment – points C and D, and the ordinate mind of point M is equal to the half-sum of the ordinates of points C and D.
In the initial data for this task, it is reported that point C has coordinates (-4; 3), and point D has coordinates (4; -3).
Knowing these coordinates, we can find the coordinates of the point M:
xm = (-4 + 4) / 2 = 0/2 = 0;
mind = (3 + (-3)) / 2 = (3 – 3) / 2 = 0/2 = 0.
Consequently, the point M has coordinates (0; 0).
Answer: point M has coordinates (0; 0).
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.