Parallel and Perpendicular Lines: An 8th Grade Challenge

2. A building is designed with a wall that is perpendicular to the ground. If the wall is 10 feet tall, what is the relationship between the wall and the ground?

• The wall is parallel to the ground.

• The wall is slanted at a 45-degree angle.

• The wall is perpendicular to the ground.

• The wall is horizontal to the ground.

3. Two streets in a city are parallel. If one street is 2 miles long and the other is 2.5 miles long, how can you identify that they are parallel?

• The streets are parallel if they are both 3 miles long.

• The streets are parallel if they are both located in the same neighborhood.

• The streets are parallel if they maintain a constant distance apart and have equal corresponding angles with a transversal.

• The streets are parallel if they intersect at a right angle.

4. A soccer field has goalposts that are perpendicular to the sidelines. If the distance between the goalposts is 8 feet, how does this relate to the sidelines?

• The distance between the goalposts (8 feet) is perpendicular to the sidelines.

• The distance between the goalposts is parallel to the sidelines.

• The distance between the goalposts is 8 feet along the sidelines.

• The goalposts are 8 feet apart from the center of the field.

5. A train track runs parallel to a highway. If the train track is 50 feet away from the highway, how can you determine that they are parallel?

• The train track is parallel to the highway because they intersect at one point.

• The train track and the highway are parallel if they are the same length.

• The train track and the highway are parallel if the distance between them remains constant.

• The train track and the highway are parallel if they are both straight lines.

6. A carpenter is building a frame for a door. If the top of the door frame is parallel to the floor, what can you say about the sides of the frame?

• The sides of the frame are horizontal and parallel to the floor.

• The sides of the frame are vertical and parallel to each other.

• The sides of the frame are slanted and meet at the top.

• The sides of the frame are curved and not parallel to each other.

7. A basketball court has lines that are perpendicular to the baseline. If the free-throw line is 15 feet from the baseline, how does this demonstrate perpendicularity?

• The free-throw line is parallel to the baseline.

• The free-throw line is perpendicular to the baseline because it forms a right angle with it.

• The free-throw line is 10 feet from the baseline.

• The free-throw line is at an angle to the baseline.

8. Two rivers flow side by side without ever meeting. If one river is wider than the other, how can you describe their relationship in terms of parallel lines?

• The rivers intersect at some point.

• The rivers are perpendicular to each other.

• The rivers are like parallel lines.

• The rivers are like converging lines.

9. A designer creates a logo with two intersecting lines. If one line is vertical and the other is horizontal, what type of lines are they?

• Diagonal lines

• Perpendicular lines

• Curved lines

• Parallel lines

10. A city planner is designing a new neighborhood. If two streets are planned to intersect at a right angle, what can you conclude about those streets?

• The streets are parallel to each other.

• The streets will form a circle.

• The streets will intersect at an acute angle.

• The streets are perpendicular to each other.