let the opposite angular points of a square ABCD be  A(3,4) C(1,-1).find C and D

Dear Student!


ABCD is a square. Coordinates of vertices A and C are (3, 4) and (1, –1) respectively.

Let the coordinate of vertex B be (x, y).

AB = BC  (Sides of the square are equal)

Squaring on both sides, we get

In right ΔABC,

AB2 + BC2 = CA2

When , we have

When , we have

Thus, the other vertices of the square are .


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