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.

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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.

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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.

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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.

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CCSS.HSG.CO.A.1

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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.

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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.

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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.

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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

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CCSS.4.G.A.1

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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.

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