Question

Точка M-середина отрезка CD.Найдите координаты точки C, если D(2;-3) M(-1;2)

Answer 1

Xm = (xc + xd) / 2  => xd = 2xm - xd = -2 -2 = -4
ym = (yc + yd) / 2 => yd = 2ym - yd = 4 + 3 = 7

Answer 2

Given Information:

We are given that point M is the midpoint of segment CD, and the coordinates of point D are (2, -3) and the coordinates of point M are (-1, 2).

Solution:

To find the coordinates of point C, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) are given by the following formulas:

x-coordinate of the midpoint = (x1 + x2) / 2 y-coordinate of the midpoint = (y1 + y2) / 2

Using this formula, we can find the coordinates of point C as follows:

x-coordinate of point C = (x-coordinate of point D + x-coordinate of point M) / 2 y-coordinate of point C = (y-coordinate of point D + y-coordinate of point M) / 2

Substituting the given values, we have:

x-coordinate of point C = (2 + (-1)) / 2 = 1/2 y-coordinate of point C = (-3 + 2) / 2 = -1/2

Therefore, the coordinates of point C are (1/2, -1/2).

Answer: The coordinates of point C are (1/2, -1/2).