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Why does the term angle need to be defined prior to defining perpendicular lines? Explain.

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Final answer:

Defining angles is essential for determining how lines intersect at right angles, which is crucial for understanding perpendicular lines in geometry.


Explanation:

The term angle needs to be defined prior to defining perpendicular lines to establish the measure of rotation or inclination between lines, which is crucial for understanding the concept of lines intersecting at right angles. In geometry, perpendicular lines are lines that intersect at a 90-degree angle, and this angle measurement is essential for identifying perpendicularity accurately. By defining the concept of angle first, the basis for determining when lines are perpendicular is set, ensuring clarity and precision in geometric relationships.


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