Question

Points A(5,3), B(-2,3) and D(5,-4) are the vertices of a square ABCD. Plot these points on a graph paper and find the co-ordinates of the vertex C. Also find the area of square ABCD.​

Answer 1

Answer:

Take a point C on the graph such that ABCD is a square i.e., all sides AB,BC,CDandAD are equal.

So, abscissa of C should be equal to abscissa of B that is, −2 and ordinate of C should be equal to ordinate of D that is, −4. Hence, the coordinates of C are (−2,–4).

The graph obtained by plotting the points A,B,C,D is given below.