Practice Work: 3.4 Proofs with Perpendicular Lines

Front

What is the definition of a right angle?

Back

A right angle is an angle that measures exactly 90 degrees.

Front

If two lines intersect to form a linear pair of congruent angles, what can be concluded about the lines?

Back

The lines are perpendicular, according to the Linear Pair Perpendicular Theorem.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if they intersect to form a right angle.

Front

What is the measure of a right angle?

Back

The measure of a right angle is 90 degrees.

Front

What theorem states that if a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line as well?

Back

This is known as the Perpendicular Transversal Theorem.

Front

If AC ⊥ BD, what can be said about angle DBC?

Back

Angle DBC is a right angle.

Front

What is the relationship between parallel lines and angles formed by a transversal?

Back

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

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet and are always the same distance apart.

Front

What is the Perpendicular Transversal Theorem?

Back

If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.

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.