auxiliary line
an extra line drawn in a figure to reveal hidden structure
An auxiliary line is an additional line drawn in a geometric figure or diagram to assist in solving a problem, proving a theorem or simplifying the presentation of the figure.
Auxiliary lines are particularly useful in geometry as they can help to divide a figure into smaller and more manageable parts, allowing for clearer visualization and making it easier to apply geometric concepts and formulas. They can also be used to create various angles or to help locate points for construction purposes.
In short, the use of auxiliary lines is a common technique in solving complex geometric problems. It is important for students to understand when and where to use auxiliary lines appropriately in order to facilitate understanding and accuracy in solving mathematical problems.
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