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 .
Cheers!