Найдите координаты вершины B параллелограмма ABCD, если A (3; –2), C (9; 8), D (–4; –5).

To find the coordinates of vertex B in the parallelogram ABCD, we can use the midpoint formula. The midpoint of the line segment connecting A and C will give us the coordinates of the midpoint, which is also the coordinate of point B.

The formula for finding the midpoint is: Midpoint (B) = ((x1 + x2)/2, (y1 + y2)/2)

Let's substitute the coordinates: Midpoint (B) = ((3 + 9)/2, (-2 + 8)/2)

Simplifying the equation: Midpoint (B) = (12/2, 6/2) Midpoint (B) = (6, 3)

Therefore, the coordinates of vertex B in the parallelogram ABCD are B (6, 3).