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Mathematics
Mathematics
Problem
Which of the following coordinate transformations will leave the numerical value of the area of every triangle unchanged? a)
(
y
,
2
x
)
(y,\,2x)
(
y
,
2
x
)
b)
(
x
,
y
)
↦
(
x
+
2
,
y
−
3
)
(x,y)\mapsto(x+2,\,y-3)
(
x
,
y
)
↦
(
x
+
2
,
y
−
3
)
c)
(
1
2
x
,
y
)
\bigl(\tfrac12x,\,y\bigr)
(
2
1
x
,
y
)
d)
(
3
x
,
3
y
)
(3x,\;3y)
(
3
x
,
3
y
)
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