In basic navigation and surveying, the method of expressing direction where two lines from known reference points cross to locate or define a direction is called what?

Introduction / Context:
In navigation, cartography and surveying, several methods are used to express directions and to locate points on a map. One common geometric idea is to use two or more lines that intersect, where their crossing point marks a particular direction or position. This question refers to such a method and asks you to identify the correct term used to describe it, assuming the illustration shows two or more lines crossing at a point.

Given Data / Assumptions:

• An illustration (not shown here) is assumed to depict two or more lines meeting or crossing at a point.
• We are working in the context of expressing direction or location on a diagram or map.
• The options include similar sounding words such as section, interjuction and intersection.
• We infer that the method relies on the crossing of lines from known references.

Concept / Approach:
When two lines from different known points or bearings cross, the point where they meet is called an intersection. In surveying and navigation, the term intersection is used when a position or direction is determined by projecting lines from known locations until they intersect. This is different from a section, which typically refers to a slice or segment, and from an incorrect or misspelled word like interjuction. Therefore, if the illustration shows lines that cross to express or fix a direction, the correct method name is based on the idea of intersection.

Step-by-Step Solution:
Step 1: Interpret the phrase method of expressing direction as a way of showing directions or positions using geometric constructions.Step 2: Assume the illustration shows lines drawn from known points that cross at some location.Step 3: Recognise that when two lines cross each other, the point where they meet is technically called an intersection.Step 4: Recall that in map reading and surveying, intersection methods use crossing bearings or lines of sight to determine a position or direction.Step 5: Compare the options: section usually refers to a part or slice, while interjuction is not a standard technical term.Step 6: Conclude that the method indicated by crossing lines is called intersection.

Verification / Alternative check:
Surveying textbooks describe intersection as a procedure where the location of a point is determined by drawing lines of sight from two fixed stations until they intersect. Similarly, on a map, directions can be expressed by the intersection of lines corresponding to bearings or grid lines. There is no widely used term interjuction in this context, and section is used for different geometric or map related ideas, confirming that intersection is the appropriate choice.

Why Other Options Are Wrong:
Section normally refers to a division or part of a whole, such as a sectional drawing or cross-section, not specifically to crossing lines used to fix direction. Interjuction appears to be a misspelling or a non-standard term and does not correspond to any recognised method in basic surveying or navigation. None of the above is incorrect because intersection is a correct, well established term.

Common Pitfalls:
Students may be confused by the similar spelling and sound of words like section and intersection, especially if they have not seen them in a surveying context. Others may be tempted by unusual spellings without realising that standard technical vocabulary is being tested. To avoid such mistakes, always focus on the exact geometric idea being described: lines that cross meet at an intersection.

Final Answer:
The method indicated by crossing lines from known references is called intersection.