contestada

points e(–1, –2) and f(4, –2) are the vertices of a square. give the coordinates of three possible pairs of points for the other two vertices.

Respuesta :

The coordinates of the two remaining vertices of the square are (4, 3) and (-1, 3).

The given parameters;

  • first coordinate point, e = (-1, -2)
  • second coordinate point, = f = (4, -2)

The coordinates of the remaining two vertices is calculated as follows;

let of a side of the square = 4 - (-1) = 4 + 1 = 5

The square has a side of 5 unit length

the coordinate in y-direction to make 5 units with (4, -2);

                                                                = y₁ - (-2) = 5

                                                                = y₁ + 2 = 5

                                                                = y₁ = 3

                                                     the coordinate = (4, 3)

the coordinate in y-direction to make 5 units with (-1, -2);

                                                                = y₂ - (-2) = 5

                                                                = y₂ + 2 = 5

                                                                = y₂ = 3  

                                                     the coordinate = (-1, 3)

Thus, the coordinates of the two remaining vertices of the square are (4, 3) and (-1, 3).

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