Parallel vs. Perpendicular: Geometry in Everyday Life

1. A park has two walking paths that run alongside each other. If one path is 3 meters wide and the other is 3 meters wide, how can you identify that these paths are parallel?

• The paths are parallel if they are the same color.

• The paths are parallel if they are both 3 meters long.

• The paths are parallel if the distance between them is constant.

• The paths are parallel if they are both made of concrete.

2. A street intersects another street at a right angle. If the first street runs north-south and the second street runs east-west, what can you conclude about the relationship between these two streets?

• The two streets are parallel to each other.

• The two streets are perpendicular to each other.

• The two streets intersect at an acute angle.

• The two streets are perpendicular to a third street.

3. A rectangular garden has two sides that are parallel to each other. If one side measures 10 meters and the other side measures 10 meters, how can you determine that these sides are parallel?

• The sides are parallel because they are adjacent to each other.

• The sides are parallel because they are both painted green.

• The sides are parallel because they are both 5 meters long.

• The sides are parallel because they are opposite sides of a rectangle.

4. A building has a wall that is perpendicular to the ground. If the wall is 12 feet tall and the ground is flat, how can you identify the perpendicular relationship between the wall and the ground?

• The wall is perpendicular if it has a decorative design.

• The wall is perpendicular if it is leaning slightly to one side.

• The wall is perpendicular to the ground if it is straight up and down, verified using a level or plumb line.

• The wall is perpendicular if it is painted a specific color.

5. Two train tracks run parallel to each other for miles. If one track is used for freight trains and the other for passenger trains, how can you explain the importance of these tracks being parallel?

• The tracks are parallel to reduce noise for nearby residents.

• Having parallel tracks increases the speed of freight trains.

• The importance of the tracks being parallel is to ensure safety and efficiency in train operations.

• Parallel tracks allow for more scenic views for passengers.

6. A basketball court has lines that are perpendicular to the baseline. If the free-throw line is 15 feet from the basket and the sideline is 20 feet away, how do you identify the perpendicular lines on the court?

• The sideline and the three-point line are the perpendicular lines.

• The three-point line and the baseline are the perpendicular lines.

• The center circle and the free-throw line are the perpendicular lines.

• The free-throw line and the sideline are the perpendicular lines.

7. A city planner designs a new neighborhood with streets that are perpendicular to each other. If one street runs east-west and another runs north-south, how can you demonstrate that these streets are perpendicular?

• The streets are perpendicular if they are the same length.

• The streets are perpendicular if they intersect at a 45-degree angle.

• The streets are parallel if they run in the same direction.

• The streets are perpendicular if they intersect at a 90-degree angle.

8. A pair of scissors has blades that are perpendicular to the handles. If the blades are opened to a 90-degree angle, how can you identify the perpendicular relationship between the blades and the handles?

• The blades and handles are parallel when opened to 90 degrees.

• The blades and handles form an acute angle when opened to 90 degrees.

• The blades and handles create a straight line when opened to 90 degrees.

• The blades and handles form a right angle when opened to 90 degrees.

9. A soccer field has goal lines that are parallel to each other. If the distance between the two goal lines is 24 feet, how can you confirm that these lines are parallel?

• The goal lines are parallel if they are both 12 feet long.

• The goal lines are parallel if they are marked with the same pattern.

• The goal lines are parallel if the distance between them remains constant at 24 feet.

• The goal lines are parallel if they are the same color.

10. A ladder leans against a wall, forming a right angle with the ground. If the ladder is 8 feet long and the wall is 6 feet tall, how can you identify the perpendicular relationship between the ladder and the ground?

• The ladder is touching the wall at the top only.

• The ladder is leaning against the wall at an angle.

• The ladder is parallel to the ground.

• The ladder is perpendicular to the ground.