A township described as T3S, R2W is located:
Correct Answer
C) Three townships south of the baseline, two ranges west
Why this is correct: The question tests the rectangular survey system (government survey). The notation 'T3S, R2W' describes a township's location relative to the principal meridian and baseline. 'T3S' means the third township south of the baseline. 'R2W' means the second range west of the principal meridian. The original explanation correctly states townships count north/south and ranges count east/west, with each unit being a six-mile square. Therefore, the description means three townships south of the baseline and two ranges west. Why the other choices are wrong: The option 'In section 3 of range 2 within the township' incorrectly uses the 'T' and 'R' designators to refer to a section number within a single township. The option 'Three miles south and two miles west of the initial point marker' is wrong because each township or range unit is six miles, not one mile. The option 'Three ranges south and two townships west' reverses the correct order; townships are the north-south measure, not ranges. Exam tip: Remember the mnemonic: Townships are Tiers (rows) running east-west but measured north/south. Ranges are vertical columns running north-south but measured east/west.
Why This Is the Correct Answer
Option C is correct because T3S means the third tier of townships south of the baseline and R2W means the second range west of the principal meridian. The description identifies a six-mile-square township, which is then subdivided into 36 sections for finer location. The pairing of township with the baseline and range with the meridian is what the notation encodes. To pinpoint a parcel you would add a section number and aliquot parts to this township and range reference.
Why the Other Options Are Wrong
Option A: In section 3 of range 2 within the township
This reads the 3 as a section number, but sections are identified separately and appear after the township and range in a full description, as in Section 14, T3S, R2W. The letters T and R designate township and range, not section, and a township contains 36 sections rather than being located within one. The option inverts the hierarchy by placing the township inside a section.
Option B: Three miles south and two miles west of the initial point marker
Distances in this notation are counted in townships and ranges, each six miles across, not in single miles. Three townships south is roughly eighteen miles, and two ranges west is roughly twelve, so reading the numbers as miles understates the location by a factor of six. It also measures from the initial point rather than from the baseline and meridian separately.
Option D: Three ranges south and two townships west
This swaps the two designations, pairing ranges with the north-south count and townships with the east-west count. Townships are always numbered north or south of the baseline and ranges always east or west of the principal meridian. The mismatch between the letters and the directions given is the tell.
T rides the baseline, R rides the meridian
Township goes up and down from the baseline, so it takes north or south. Range goes side to side from the meridian, so it takes east or west. Check that each letter carries the right direction.
How to use: Read the direction letter attached to each number and confirm it matches. Any option pairing township with east or west, or range with north or south, is wrong before you read further.
Exam Tip
Multiply by six to convert townships or ranges into miles. Answer choices that treat the numbers as miles are the most common trap in this family.
Common Mistakes to Avoid
- -Swapping township and range directions
- -Reading the numbers as miles instead of six-mile units
- -Confusing the township designation with a section number
- -Forgetting that section numbering starts in the northeast corner and snakes back and forth
Concept Deep Dive
Analysis
This tests how to read township and range notation, the coordinate system of the Public Land Survey System. Every surveyed area is referenced to an initial point, from which a baseline runs east and west and a principal meridian runs north and south. Townships are counted in tiers north or south of the baseline, and ranges are counted in columns east or west of the principal meridian. The notation T3S, R2W therefore locates the township three tiers south of the baseline and two columns west of the principal meridian. The counting is in townships and ranges, each six miles wide, not in miles, so the description places a six-mile-square block rather than a point. Getting the pairing right is the whole skill: T always pairs with the baseline and north or south, R always pairs with the principal meridian and east or west.
Background Knowledge
You need the framework of initial point, baseline, and principal meridian, and the rule that townships are counted north or south of the baseline while ranges are counted east or west of the meridian. You should also know that a full legal description adds a section number and aliquot parts, and that section numbering within a township begins in the northeast corner and runs in a serpentine pattern.
Real-World Application
Given a description of the NE quarter of the SW quarter of Section 8, T3S, R2W, you locate the township on the county plat, find Section 8 using the serpentine numbering from the northeast corner, and identify the 40-acre parcel before pulling comparable sales from surrounding sections.
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