Real-Life Distance and Midpoint Challenges for 8th Graders

1. A park is located at the coordinates (2, 3) and a playground is at (5, 7). What is the distance between the park and the playground?

• 5

• 3

• 7

• 10

2. Two friends are standing at points A(1, 2) and B(4, 6) in a field. What is the midpoint of the line segment connecting them?

• (3, 4)

• (2, 3)

• (5, 5)

• (2.5, 4)

3. A school is at (3, 4) and a library is at (7, 1). How far apart are the school and the library?

• 5

• √10

• 10

• √13

4. A bike path runs from point C(0, 0) to point D(6, 8). What is the distance of the bike path?

• 8

• 10

• 12

• 15

5. The coordinates of a coffee shop are (2, 5) and a bookstore are (8, 3). Find the distance between the coffee shop and the bookstore.

• 10

• 2√10

• 4√5

• 6

6. A movie theater is located at (3, 3) and a restaurant is at (6, 7). What is the midpoint between the movie theater and the restaurant?

• (4.5, 5)

• (6, 3)

• (3, 7)

• (5, 5)

7. A delivery truck starts at point E(1, 1) and needs to reach point F(4, 5). How far does the truck need to travel?

• 10

• 3

• 5

• 7

8. A soccer field is at (2, 2) and a basketball court is at (10, 8). Calculate the distance between the two sports facilities.

• 12

• 10

• 15

• 5

9. The coordinates of a train station are (5, 5) and a bus stop are (9, 2). What is the distance between the train station and the bus stop?

• 6.5

• 4.0

• 5.0

• 3.605551275463989

10. A fountain is located at (4, 4) and a statue is at (8, 6). What is the midpoint of the line segment connecting the fountain and the statue?

• (4, 6)

• (5, 4)

• (6, 5)

• (7, 6)