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Answer:
GivenA(−1,−1)=(x
1
,y
1
),
B(6,1)=(x
2
,y
2
),C(8,8)=(x
3
,y
3
)
andD(x,y)areverticesofaRhombus.
\begin{gathered} x = x_{1} + x_{3} - x_{2} \\= -1 + 8 - 6 \\= -7 + 8 \\= 1 \end{gathered}
x=x
1
+x
3
−x
2
=−1+8−6
=−7+8
=1
\begin{gathered} y = y_{1} + y_{3} - y_{2} \\= -1 + 8 - 1 \\= -2 + 8 \\= 6 \end{gathered}
y=y
1
+y
3
−y
2
=−1+8−1
=−2+8
=6
Therefore.,
\begin{gathered} \red{ Co-ordinates \:of \:point \:D(x,y) }\\\green {= (1,6) }\end{gathered}
Co−ordinatesofpointD(x,y)
=(1,6)
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