Question

K середина отрезка аd a (-8;2), k (-4;6) найдите координаты d

Answer 1

$x = \frac{x1 + x2}{2} \\ x2 = 2x - x1 = - 4 \times 2 - ( - 8) = 0 \\ y = \frac{y1 + y2}{2} \\ y2 = 2y - y1 = 2 \times 6 - 2 = 10$
ответ: D(0;10)

Answer 2

To find the coordinates of point D, which is the midpoint of segment AD, 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:

Midpoint: ((x1 + x2)/2, (y1 + y2)/2)

In this case, we are given the coordinates of points A and K, and we need to find the coordinates of point D, which is the midpoint of segment AD.

Coordinates of point A: (-8, 2) Coordinates of point K: (-4, 6)

Using the midpoint formula, we can calculate the coordinates of point D as follows:

x-coordinate of D = (x-coordinate of A + x-coordinate of K) / 2 = (-8 + (-4)) / 2 = -12 / 2 = -6

y-coordinate of D = (y-coordinate of A + y-coordinate of K) / 2 = (2 + 6) / 2 = 8 / 2 = 4

Therefore, the coordinates of point D are (-6, 4).