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Mathematics
Mathematics
Problem
The points
P
(
2
,
3
)
P(2, 3)
P
(
2
,
3
)
and
Q
(
6
,
7
)
Q(6, 7)
Q
(
6
,
7
)
are opposite vertices of a rhombus
P
R
Q
S
PRQS
P
R
QS
. The diagonal
R
S
RS
R
S
lies on the line
x
+
2
y
−
5
=
0
x + 2y - 5 = 0
x
+
2
y
−
5
=
0
. Verify if this statement is geometrically consistent, and if so, determine if the diagonal
R
S
RS
R
S
acts as a line of symmetry for
P
P
P
and
Q
Q
Q
.
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