Relative positions of five towns: A is West of B; C is South of A; E is North of B; D is East of E. In which direction is C with respect to D?

Introduction / Context:Translate relational clues into a coordinate sketch to compare D and C.

Given Data / Assumptions:

• Let A = (0,0), B East of A ⇒ B = (1,0).
• C South of A ⇒ C = (0,−1).
• E North of B ⇒ E = (1,1).
• D East of E ⇒ D = (2,1).

Concept / Approach:Compute vector from D to C: C − D = (0−2, −1−1) = (−2, −2) ⇒ South-West.

Step-by-Step Solution:

Verification / Alternative check:Graphing confirms C lies diagonally down-left from D.

Why Other Options Are Wrong:They indicate incorrect quadrants.

Common Pitfalls:Answering direction of D from C instead of C from D.

Final Answer:South-West