Distance & Midpoint: 6th Grade Coordinate Challenges

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?

• 2 * sqrt(13)

• sqrt(50)

• 3 * sqrt(10)

• 5 * sqrt(2)

2. If the coordinates of two bus stops are C(1, 4) and D(5, 8), what is the midpoint of the line segment connecting these two stops?

• (4, 7)

• (2, 5)

• (3, 6)

• (6, 9)

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.

• 3√5

• √20

• 4√5

• 2√5

4. The coordinates of a basketball court are G(4, 1) and a soccer field are H(10, 5). What is the midpoint between the basketball court and the soccer field?

• (7, 3)

• (6, 3)

• (8, 4)

• (5, 2)

5. A bike path runs from point I(0, 0) to point J(6, 8). How far is it from the starting point to the endpoint?

• 10

• 12

• 8

• 15

6. The coordinates of a coffee shop are K(2, 5) and a bookstore are L(6, 9). Find the midpoint between the coffee shop and the bookstore.

• (4, 7)

• (3, 6)

• (5, 8)

• (2, 9)

7. A zoo is located at point M(1, 1) and an aquarium is at point N(9, 3). What is the distance between the zoo and the aquarium?

• 5√2

• 2√17

• 8

• 3√5

8. If a movie theater is at point O(3, 7) and a restaurant is at point P(7, 3), what is the midpoint of the line segment connecting the two locations?

• (3, 7)

• (5, 5)

• (4, 6)

• (6, 4)

9. A hiking trail starts at point Q(2, 2) and ends at point R(10, 10). Calculate the distance of the hiking trail.

• 8

• 5√2

• 10

• 8√2

• 6√2

10. The coordinates of a museum are S(5, 5) and a gallery is at T(1, 9). What is the midpoint between the museum and the gallery?

• (2, 8)

• (3, 7)

• (4, 6)

• (5, 5)