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Geometry: Constructions

Problems

Perpendicular Lines

Dividing Angles and Segments

Problem : Line AB is perpendicular to line CD. Line EF is perpendicular to line CD. What is the angle formed between line AB and line EF?

There is no angle formed: the lines are parallel.

Problem : When perpendicular lines intersect, how many pairs of supplementary angles are formed?

Six

Problem : What is the shortest distance between two parallel lines?

A segment perpendicular to the parallel lines with an endpoint on each line represents the shortest distance between those lines.

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