Question

Show that the points (1, 7), (4, 2), (–1, –1) and (– 4, 4) are the vertices of a square.

Answer 1

USING DISTANCE FORMULA FIND THE DISTANCE OF FIRST TWO GIVEN POINTS (1,7) AND (4,2).....AND THEN PROCEED WITH OTHER POINTS SAME AS THIS AND YOU WILL FIND THAT ALL THE DISTANCES ARE EQUAL.....AND SINCE ALL THE DISTANCES ARE EQUAL....HENCE, IT IS A SQUARE