#3.4 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 never intersect and are always the same distance apart.

Front

What is the symbol used to denote perpendicular lines?

Back

The symbol '⊥' is used to denote that two lines are perpendicular.

Front

If line l is perpendicular to line m, what can we say about their angles?

Back

The angle formed between line l and line m is 90 degrees.

Front

What is the relationship between parallel lines and transversals?

Back

When a transversal crosses parallel lines, it creates corresponding angles that are equal.

Front

What is the definition of a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

Front

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

Back

Two lines are parallel if they have the same slope.

Front

What is the significance of the right angle in geometry?

Back

A right angle indicates that two lines are perpendicular to each other.

Front

If two lines intersect and form a pair of opposite angles, what can be said about those angles?

Back

The opposite angles are equal, known as vertical angles.

Front

What is the relationship between the angles formed when a transversal crosses two parallel lines?

Back

The alternate interior angles are equal, and the same-side interior angles are supplementary.