Vertices of square worksheet :
Here we are see some practice questions on vertices of square.
(i) Plot the given points in the graph and draw the square.
(ii) Now we need to find the length of all sides.
(iii) In a square length of all sides are equal.
(iv) Length of diagonals are also equal
If we prove the above two conditions(iii, iv) are true, we can decide that the given points form a square.
Definition of square :
Area enclosed by the 4 equal sides is called the area of the square.
Procedure to test whether the given points are vertices of square:
(i) First we have to find the length of all sides using distance between two points formula.
Length of diagonal must be equal in any square.If the given vertices
are satisfying these conditions then we can say the given vertices forms
Question 1 :
Examine whether the given points A (2,6) and B (5,1) and C (0,-2) and D (-3,3) forms a square.