3.6 Proofs with Perpendicular Lines

Front

What is the shortest distance between a point and a line?

Back

The length of the perpendicular segment from the point to the line.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they are in the same plane and do not intersect, regardless of how far they are extended.

Front

How can you determine if two lines are parallel using angles?

Back

If two lines are cut by a transversal and the corresponding angles are equal, then the lines are parallel.

Front

What is a transversal in geometry?

Back

A transversal is a line that intersects two or more lines at different points.

Front

What is the relationship between perpendicular lines and angles?

Back

Perpendicular lines intersect to form right angles (90 degrees).

Front

What is the significance of the perpendicular segment in geometry?

Back

The perpendicular segment from a point to a line is the shortest distance from the point to the line.

Front

What does the notation 'a ∥ b' signify?

Back

The notation 'a ∥ b' indicates that line a is parallel to line b.

Front

What can be concluded if two lines are perpendicular to the same line?

Back

If two lines are both perpendicular to the same line, then they are parallel to each other.

Front

What is the definition of congruent segments in geometry?

Back

Congruent segments are segments that have the same length.

Front

How can you prove that two lines are parallel using alternate interior angles?

Back

If two lines are cut by a transversal and the alternate interior angles are equal, then the lines are parallel.