Distance and Midpoint Challenges 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?

• sqrt(50)

• 2 * sqrt(13)

• 3 * sqrt(10)

• 5 * sqrt(2)

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

• (3, 7)

• (4, 8)

• (2, 6)

• (1, 10)

3. A school is at point E(3, 2) and a library is at point F(7, 6). Calculate the distance between the school and the library.

• 4√5

• √20

• 2√5

• 3√5

4. The coordinates of a coffee shop are G(4, 1) and a bakery is at H(10, 5). What is the midpoint of the line segment connecting these two locations?

• (5, 2)

• (7, 3)

• (8, 4)

• (6, 3)

5. A bike path runs from point I(0, 0) to point J(6, 8). Determine the distance of the bike path.

• 8

• 12

• 15

• 10

6. A movie theater is located at K(2, 5) and a restaurant is at L(8, 1). What is the distance between the movie theater and the restaurant?

• 4√10

• 3√8

• 2√13

• 6√5

7. The coordinates of two friends' houses are M(3, 7) and N(9, 3). Find the midpoint of the segment connecting their houses.

• (7, 4)

• (5, 5)

• (8, 6)

• (6, 5)

8. A zoo is located at point O(1, 2) and an aquarium is at point P(4, 6). Calculate the distance between the zoo and the aquarium.

• 5

• 10

• 7

• 3

9. The coordinates of a gym are Q(5, 5) and a swimming pool is at R(1, 1). What is the midpoint between the gym and the swimming pool?

• (3, 3)

• (2, 2)

• (4, 4)

• (6, 6)

10. A hiking trail starts at point S(2, 3) and ends at point T(10, 11). What is the distance of the hiking trail?

• 6√2

• 10

• 5√2

• 8√2

• 8