Question

Даны точки A(4;4) и B(2;18). Найди координаты точек C и D, если известно, что точка B — середина отрезка AC, а точка D — середина отрезка BC. СРОЧНО ПОМОГИТЕ

Answer 1

Ответ:

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Answer 2

Problem Analysis

We are given two points, A(4,4) and B(2,18), and we need to find the coordinates of points C and D. We are also given that point B is the midpoint of segment AC, and point D is the midpoint of segment BC.

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 average of the x-coordinates and the average of the y-coordinates.

Let's calculate the coordinates of point C: - x-coordinate of C = (x-coordinate of A + x-coordinate of B) / 2 = (4 + 2) / 2 = 6 / 2 = 3 - y-coordinate of C = (y-coordinate of A + y-coordinate of B) / 2 = (4 + 18) / 2 = 22 / 2 = 11

Therefore, the coordinates of point C are (3, 11).

To find the coordinates of point D, we can use the same midpoint formula. This time, the endpoints of the line segment are B and C.

Let's calculate the coordinates of point D: - x-coordinate of D = (x-coordinate of B + x-coordinate of C) / 2 = (2 + 3) / 2 = 5 / 2 = 2.5 - y-coordinate of D = (y-coordinate of B + y-coordinate of C) / 2 = (18 + 11) / 2 = 29 / 2 = 14.5

Therefore, the coordinates of point D are (2.5, 14.5).

Answer

The coordinates of point C are (3, 11), and the coordinates of point D are (2.5, 14.5).