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Town A lies to the southwest of Town R. Town D lies to the east of Town A. Town T lies to the southeast of Town D. Town R lies to the north of Town T. Town M lies to the southeast of Town T. What is the position of Town M with respect to Town D?
Northeast
Southeast
Northwest
Southwest
Southeast
Visualize the positions relative to each other: A is SW of R, D is East of A. Since R is North of T, and T is SE of D, D lies to the NW of T. Finally, M being SE of T puts M further away, placing M to the Northeast of D.
Visualize the positions relative to each other: A is SW of R, D is East of A. Since R is North of T, and T is SE of D, D lies to the NW of T. Finally, M being SE of T puts M further away, placing M to the Northeast of D.
Establish Reference
Town A is Southwest of R. Town D is East of A. This places D to the Southeast of R.
Locate T and M
Town T is Southeast of D. Town R is North of T. Town M is Southeast of T.
Determine D to M direction
With D as the origin, moving through T (SE) then further SE to M results in M being positioned in the Northeast direction relative to D's initial reference point (calculated based on relative Cartesian displacements).
A: Northeast is the correct orientation, not Northwest. C: Southeast is the direction of T from D, not M from D. D: Southwest is the opposite of the correct direction.
B is correct because mapping the relative displacements on a coordinate plane places Town M in the Northeast quadrant relative to Town D.
In direction problems, always mark a small '+' grid (N, S, E, W) at each town's location to avoid confusion when the reference point changes.