Concept:Use directions as coordinates: North =
+y, South =
−y, East =
+x, West =
−x.
Explanation:Take Q at origin
(0,0).
P is to the West of Q, so let P be at
(−a,0), where
a>0.
R is to the South of P, so let R be at
(−a,−b), where
b>0.
T is to the North of Q, so let T be at
(0,c), where
c>0.
S is to the East of T, so let S be at
(d,c), where
d>0.
Now compare R and S: R has a negative
x-coordinate and S has a positive
x-coordinate, so R is to the West of S.
R has a negative
y-coordinate and S has a positive
y-coordinate, so R is to the South of S.
Hence, R is in the South-West direction with respect to S.
Answer:Option C: South-West.
