Question

Точки А (-3; 5) С (7;-1) Д (5; 7) являются вершинами паралелограмма АВСД . Найдите координаты точек В

Answer 1

A(-3;5) С (7;-1) 
Х=Х+1+Х2/2;
У=У1+У2/2
У=5+(-1)/2=2
B(2;2)

Answer 2

Finding the Coordinates of Point B in Parallelogram ABCD

To find the coordinates of point B in parallelogram ABCD, we can use the fact that opposite sides of a parallelogram are parallel and equal in length.

Given the coordinates of points A (-3, 5), C (7, -1), and D (5, 7), we can determine the coordinates of point B.

Let's proceed with the calculation:

1. Find the vector representing the displacement from A to C: - Vector AC = (7, -1) - (-3, 5) = (7 + 3, -1 - 5) = (10, -6).

2. Add the vector AC to point D to find point B: - Point B = D + AC = (5, 7) + (10, -6) = (5 + 10, 7 - 6) = (15, 1).

Therefore, the coordinates of point B in parallelogram ABCD are (15, 1).

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