Question

Дано: ABCD - паралелограм; A(3; -2); B(-4;1); C(-2;-3). Знайти: D

Answer 1

Ответ:

D(5;-6)

Объяснение:

Построить параллелограмм по заданным координатам.

Answer 2

Given Information:

We are given a parallelogram ABCD with the coordinates of points A, B, and C as follows: - A(3, -2) - B(-4, 1) - C(-2, -3)

We need to find the coordinates of point D.

Solution:

In a parallelogram, opposite sides are parallel and equal in length. Therefore, we can find the coordinates of point D by using the properties of parallelograms.

To find the coordinates of point D, we can use the fact that the opposite sides of a parallelogram are parallel. We can find the vector representing one of the sides of the parallelogram and then add it to the coordinates of point C to find the coordinates of point D.

Let's find the vector representing side AB first. The vector representing side AB can be found by subtracting the coordinates of point A from the coordinates of point B:

AB = B - A = (-4, 1) - (3, -2) = (-4 - 3, 1 - (-2)) = (-7, 3)

Now, we can add this vector to the coordinates of point C to find the coordinates of point D:

D = C + AB = (-2, -3) + (-7, 3) = (-2 - 7, -3 + 3) = (-9, 0)

Therefore, the coordinates of point D are (-9, 0).

Answer: The coordinates of point D are (-9, 0).