Question

prove that the pointe (1,7) (4,2)(-1,-1) and (-4,4) are the vertices of a square​

Answer 1

Answer:

Let the 4 points are A,B,C,D.

Find the distance between all of them

Distance AB, BC, CD, AD is same

so it's a rhombus

and distance AC and BD is same

so it's a rectangle

so It's a SQUARE

Answer 2

Let the points be

A(1.7) B(4,2) C(-1,-1) D(-4,4)

Using distance formula

AB=√(x2-x1)²+(y2-y1)²√

=(4-1)²+(2-7)²

=9+25

=√34

BC=(-1-4)²+(-1-2)²

=25+9

=√34

Similarly CD and AD is equal to √34

Therefore AB=BC=CD=DA

THEN IT IS SQUARE