6. Construct a square MNOP such that its vertices M, N, O and P are (1,2), (-7,2), (-7,-6) a and (1,-6) respectively.
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Answer:Let the vertices of quadrilateral are A(1,4),B(−5,4)C(−5,−3) and D(1,−3) respectively.
Then Hence, AB=CD, and BC = DA and Diagonal BD = Diagonal AC
AB
BC
CD
DA
=
(−5−1)
2
+(4−4)
2
=
(−6)
2
+(0)
2
=
36
=6
=
(−5+5)
2
+(−3−4)
2
=
0+(−7)
2
=
49
=7
=
[1−(−5)]
2
+[(−3)+(−3)]
2
=
(1+5)
2
+(−3+3)
2
=
(6)
2
=6
=
(1−1)
2
+(4+3)
2
=
0+(7)
2
=
49
=7
Diagonal BD
=
(1+5)
2
+(−3−4)
2
=
36+49
=
85
Diagonal AC
=
(−5−1)
2
+(−3−4)
2
=
(−6)
2
+(−7)
2
=
36+49
=
85
PLZ MARK METH BRAINLEST
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