Grade 8 Quiz: Identifying Parallel and Perpendicular Lines

A park has two walking paths that run alongside each other. If one path is 100 meters long and the other is 150 meters long, are the paths parallel? Explain your reasoning.

• Both paths are the same length.

• Insufficient information to determine if the paths are parallel.

• The paths are perpendicular to each other.

• The paths intersect at a right angle.

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

• The two streets intersect at an acute angle.

• The two streets are parallel to each other.

• The two streets are perpendicular to a third street.

• The two streets are perpendicular to each other.

In a rectangular garden, the length of one side is 20 meters and the width is 15 meters. Are the opposite sides of the garden parallel or perpendicular?

• The opposite sides of the garden are parallel.

• The opposite sides of the garden are perpendicular.

• The opposite sides of the garden are not parallel.

• The opposite sides of the garden are at a 45-degree angle.

A pair of train tracks run parallel to each other. If one track is 200 meters long and the other is 250 meters long, how can you determine that they are parallel?

• Draw a straight line between the two tracks; if it is straight, they are parallel.

• Measure the distance between the tracks at various points; if it is constant, they are parallel.

• The tracks must be the same length to be parallel.

• Observe the curvature of the tracks; if they curve the same way, they are parallel.

A ladder leans against a wall, forming a right angle with the ground. If the ladder is 5 meters long and the wall is 3 meters high, what type of lines are formed between the ground, the wall, and the ladder?

• Right lines (forming a right triangle)

• Diagonal lines (forming an angle)

• Curved lines (forming a circle)

• Parallel lines (not intersecting)

Two roads meet at a traffic intersection. If one road goes straight and the other turns at a right angle, what can you conclude about the angles formed at the intersection?

• The angles formed at the intersection are right angles.

• The angles formed at the intersection are acute angles.

• The angles formed at the intersection are obtuse angles.

• The angles formed at the intersection are reflex angles.

A soccer field has two goal lines that are parallel to each other. If the distance between the two goal lines is 7 meters, how can you confirm that they are parallel?

• Draw a line between the goal lines and check if it is straight.

• Measure the distance between the goal lines at multiple points; if it remains 7 meters, they are parallel.

• Use a compass to measure the angles of the goal lines.

• Observe the goal lines from a distance to see if they look parallel.

A building is constructed with walls that are perpendicular to the floor. If one wall is 10 feet long and the adjacent wall is 12 feet long, what can you say about the angles formed at the corners of the building?

• The angles formed at the corners of the building are all straight angles (180 degrees).

• The angles formed at the corners of the building are right angles (90 degrees).

• The angles formed at the corners of the building are obtuse angles (greater than 90 degrees).

• The angles formed at the corners of the building are acute angles (less than 90 degrees).

A skateboard ramp is designed with two sides that are parallel to each other. If the height of the ramp is 2 meters and the base is 4 meters wide, how does this design ensure the sides remain parallel?

• The sides are parallel because they are both sloped at a 45-degree angle.

• The ramp's design uses a curved shape to keep the sides parallel.

• The width of the ramp is irrelevant to the parallelism of the sides.

• The sides of the ramp are parallel because they maintain a consistent height of 2 meters across the 4-meter width.

A rectangular swimming pool has a length of 25 meters and a width of 10 meters. Are the corners of the pool perpendicular? Justify your answer with a geometric explanation.

• Yes, the corners of the pool are perpendicular.

• No, the corners are rounded.

• Yes, the corners are obtuse.

• No, the corners are acute.