Question

В прямоугольнике ABCD известны координаты вершин А(-2;5) и В(4;5) и центр симметрии Е(1;2). Найдите координаты вершин C и D. Постройте прямоугольник ABCD. Отправьте во вложении

Answer 1

C(-2;-1)
D(5;-1)...................

Answer 2

Finding the Coordinates of Vertices C and D

To find the coordinates of vertices C and D in the rectangle ABCD, we can use the information given about the coordinates of vertices A, B, and the center of symmetry E.

Given: - Vertex A: (-2, 5) - Vertex B: (4, 5) - Center of symmetry E: (1, 2)

To find the coordinates of vertex C, we can use the fact that the center of symmetry is the midpoint of the diagonal AC. Therefore, the x-coordinate of C is the same as the x-coordinate of A, and the y-coordinate of C is the same as the y-coordinate of E.

Coordinates of C: (-2, 2)

To find the coordinates of vertex D, we can use the fact that the center of symmetry is the midpoint of the diagonal BD. Therefore, the x-coordinate of D is the same as the x-coordinate of B, and the y-coordinate of D is the same as the y-coordinate of E.

Coordinates of D: (4, 2)

Constructing Rectangle ABCD

Using the coordinates of the vertices A, B, C, and D, we can construct the rectangle ABCD.

The coordinates of the vertices are: - A: (-2, 5) - B: (4, 5) - C: (-2, 2) - D: (4, 2)

To visualize the rectangle ABCD, please refer to the attached image.