Question

5. In a class room, 4 friends are seated at the points
A, B, C and D as shown in Figure. Jarina and Phani
walk into the class and after observing for a few
minutes Jarina asks phani “Don't you think ABCD
is a square?” Phani disagrees.
Using distance formula, find which of them is correct.
Why?
​

Answer 1

Answer:

Jarina is correct, the figure is square

Step-by-step explanation:

all the boxes are square , let the length of diagonal of each square be x and their side be y units.

Now the distance between each student at A,B,C and D is 3x units therefore ABCD is a quadrilateral with all four sides equal = 3x , now it may be square or a rhombus.

Now we see the diagonals of ABCD quadrilateral are also equal = 6y.

Therfore a quadrilateral whose all four sides are equal with equal diagonals is known as square.

Hence ABCD is a square

Answer 2

Answer:

Yes ABCD makes a square......if you see the difference btw the x n y coordinates of the points, they are same in every case