Question

Знайдіть координати вершини В паралелограма АБСD , якщо A(3;-2), C(9;8), D(-4;-5)

Answer 1

Рисуете координатную прямую, строите точки, делаете по точкам и по определению параллелограмм и находите вершину В

Answer 2

Finding the Coordinates of Vertex B in Parallelogram ABCD

To find the coordinates of vertex B in parallelogram ABCD, we can use the distance formula and the properties of parallelograms.

The distance formula is given by: BC = √((x2 - x1)^2 + (y2 - y1)^2)

The properties of parallelograms include: 1. Opposite sides are equal in length. 2. Opposite angles are equal. 3. Diagonals bisect each other.

Using these properties and the distance formula, we can find the coordinates of vertex B.

First, let's find the coordinates of point A (3, -2), point C (9, 8), and point D (-4, -5).

The distance formula for finding the length of a line segment between two points is: AB = √((x2 - x1)^2 + (y2 - y1)^2)

Now, let's calculate the coordinates of vertex B.