Question

Square ABCD has diagonal AC with vertices A(1, 1) and C(3, — 1). Find the coordinates of the

remaining vertices.
The coordinates are

Answer 1

The coordinates of the remaining vertices are (1, -1) and (3, 1).

Explanation:

A square is a quadrilateral with with four sides of equal length. It has two sets of parallel sides and its interior angles are all right angles. Therefore, each vertex shares its x-coordinate with one adjacent vertex, and its y-coordinate with the other adjacent vertex.

If AC with vertices A(1, 1) and C(3, -1) is the diagonal of a square, the coordinates of the remaining vertices will be:

• 
  `(x_A, y_C)=(1,-1)`

• 
  `(x_C, y_A)=(3,1)`