verify the point(-1,-8),(4,-6),(2,-1),(-3,-3) taken in order form a square or not
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Step-by-step explanation:
Let A(x
1
,y
1
)=(−1,−8),B(x
2
,y
2
)=(−4,−6) and C(x
3
,y
3
)=(2,−1) and D(x
4
,y
4
)=(−3,−3) be the vertices of a square.
∴ Distance between two points =
(x
2
−x
1
)
2
+(y
2
−y
1
)
2
AB=
(4+1)
2
+(−6+8)
2
=
25+4
=
29
units
BC=
(2−4)
2
+(−1+6)
2
=
4+25
=
29
units
CD=
(−3−2)
2
+(−3+1)
2
=
25+4
=
29
units
DA=
(−3+1)
2
+(−3+8)
2
=
4+25
=
29
units
AB=CD=BC=DA
Hence, the given points form a square.
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