## VERTICES OF SQUARE WORKSHEET

Vertices of square worksheet :

Here we are see some practice questions on vertices of square.

## How to check if four points form a 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.

(ii) 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 a square.

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.

 (A) Yes (B) No

Question 2 :

Examine whether the given points  A (8,8) and B (13,-4) and C (1,-9) and D (-4,3) forms a square.

 (A) Yes (B) No

Question 3 :

Examine whether the given points  A (-2,2) and B (2,2) and C (2,-2) and D (-2,-2) forms a square.

 (A) Yes (B) No

Question 4 :

Examine whether the given points  A (-9,-7) and B (-6,-7) and C (-6,-4) and D (-9,-4) forms a square.

 (A) Yes (B) No

Question 5 :

Examine whether the given points  A (1,2) and B (2,2) and C (2,3) and D (1,3) forms a square.

 (A) Yes (B) No

Question 6 :

Examine whether the given points  A (-1,-8) and B (4,-6) and C (2,-1) and D (-3,-3) forms a square. vertices of square worksheet  vertices of square worksheet

 (A) Yes (B) No

Question 7 :

Examine whether the given points A (0,-1) and B (2,1) and C (0,3) and D (-2,1) forms a square.

 (A) Yes (B) No

Quote on Mathematics

“Mathematics, without this we can do nothing in our life. Each and everything around us is math.

Math is not only solving problems and finding solutions and it is also doing many things in our day to day life.  They are:

It subtracts sadness and adds happiness in our life.

It divides sorrow and multiplies forgiveness and love.

Some people would not be able accept that the subject Math is easy to understand. That is because; they are unable to realize how the life is complicated. The problems in the subject Math are easier to solve than the problems in our real life. When we people are able to solve all the problems in the complicated life, why can we not solve the simple math problems?

Many people think that the subject math is always complicated and it exists to make things from simple to complicate. But the real existence of the subject math is to make things from complicate to simple.”