Distance and Midpoint Problems for 8th Grade Math

1. A park is located at point A (2, 3) and a playground is at point B (8, 7). What is the distance between the park and the playground?

• 3√10

• 2√13

• 5√2

• 4√5

2. The coordinates of two bus stops are C (4, 5) and D (10, 1). Find the midpoint between these two bus stops.

• (6, 3)

• (8, 2)

• (7, 3)

• (5, 4)

3. A school is at point E (1, 2) and a library is at point F (7, 8). Calculate the distance between the school and the library.

• 6√2

• 8√2

• 7√2

• 5√2

4. Two friends live at points G (3, 4) and H (9, 10). What is the midpoint of the line segment connecting their houses?

• (6, 7)

• (5, 6)

• (4, 5)

• (7, 8)

5. A store is located at point I (5, 1) and a restaurant is at point J (1, 5). How far apart are the store and the restaurant?

• 5

• 3√2

• 6

• 4√2

6. The coordinates of two landmarks are K (0, 0) and L (6, 8). Find the distance between these landmarks.

• 10

• 5

• 8

• 12

7. A bike path runs from point M (2, 2) to point N (8, 6). What is the midpoint of this bike path?

• (6, 5)

• (4, 3)

• (7, 4)

• (5, 4)

8. A movie theater is at point O (3, 7) and a mall is at point P (9, 3). Calculate the distance between the movie theater and the mall.

• 5√5

• 4√10

• 3√13

• 2√13

9. The coordinates of two points on a map are Q (4, 4) and R (10, 10). What is the midpoint of the segment connecting these points?

• (5, 5)

• (6, 6)

• (8, 8)

• (7, 7)

10. A zoo is located at point S (1, 1) and an aquarium is at point T (7, 5). How far apart are the zoo and the aquarium?

• 8

• 4√3

• 6

• 2√13