Lesson 2: Parallel Lines — Practice Questions

1. 1. Which of the following statements best describes two parallel lines?

   • A. They intersect at exactly one point.
   • B. They are always the same distance apart.
   • C. They form a right angle where they meet.
   • D. They must have the same length.

2. 2. Two distinct lines on a plane are parallel. If these lines are extended infinitely in both directions, they will intersect ___ times.

3. 3. Imagine the horizontal strings on a guitar. Which property makes these strings a good real-world example of parallel lines?

   • A. They are all attached to the guitar.
   • B. They each make a different musical note.
   • C. They run alongside each other and never cross.
   • D. They are all made of the same material.

4. 4. The opposite sides of a standard rectangular door are parallel. Which pair of sides demonstrates this?

   • A. The top edge and the left side edge.
   • B. The left side edge and the right side edge.
   • C. The bottom edge and the right side edge.
   • D. A diagonal line and the top edge.

5. 5. Line A and Line B are parallel. The shortest distance between them at one point is 5 cm. If you measure the shortest distance between them at another point, the distance will be ___ cm.

6. 6. Lines $a$ and $b$ are parallel and are intersected by a transversal line $c$. If a lower-right angle at one intersection is $75^\circ$, what is the measure in degrees of the corresponding lower-right angle at the other intersection? ___

7. 7. A transversal intersects lines $x$ and $y$. The upper-right angle at the first intersection is $110^\circ$, and the corresponding angle at the second intersection is also $110^\circ$. What can be concluded about lines $x$ and $y$?

   • A. Line $x$ is parallel to line $y$
   • B. Line $x$ is perpendicular to line $y$
   • C. The lines will intersect
   • D. No conclusion can be made

8. 8. Two parallel lines are cut by a transversal. If an angle measures $48^\circ$, what is the measure of its alternate interior angle in degrees? ___

9. 9. A transversal cuts two parallel roads. The angle an on-ramp makes with the first road is $40^\circ$. What is the measure in degrees of the alternate interior angle formed at the second road? ___