Parallel and Perpendicular Lines Exercises

Is line p perpendicular to line r?

Hint

What does that little box in the corner mean?

Is line q perpendicular to line r?

Hint

Remember that p and q are parallel lines. What are some characteristics of parallel lines?

Which of these lines are parallel and which are perpendicular?

Hint

"Parallel" and "perpendicular" are kind of the opposite of one another.

What is the measure of ∠RZQ?

Hint

Vertical angles are always what?

If the measure of ∠UYZ is 19°, what is the measure of ∠WYP?

Hint

Knowledge of vertical angles and perpendicular lines is equally useful.

Which lines are parallel? Which lines are perpendicular?

Hint

What can you prove based solely on the picture?

The equation of line a is y = -⅕x – 1. If line b is perpendicular to line a and intersects line a when x = 5, what is the equation of b?

Hint

To find a line, we need the slope and a point. We're given both…somewhat indirectly.