Distance and Midpoint Challenges for 8th Graders

1. A park is located at point A(2, 3) and a playground is at point B(8, 7). Calculate 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). What is the midpoint of the line segment connecting these two bus stops?

• (4, 8)

• (3, 7)

• (2, 6)

• (1, 10)

3. A straight road runs from point E(-3, -2) to point F(3, 4). Determine the slope of the road.

• 2

• 0

• -1

• 1

4. A school is at point G(0, 0) and a library is at point H(6, 8). Find the distance between the school and the library.

• 10

• 5

• 12

• 8

5. The coordinates of two friends' houses are I(2, 1) and J(10, 5). What is the midpoint of the line segment connecting their houses?

• (8, 4)

• (6, 3)

• (4, 2)

• (12, 6)

6. A bike path runs from point K(-1, 2) to point L(4, 6). Calculate the distance of the bike path.

• √41

• 5

• √50

• √20

7. A store is located at point M(3, 3) and a restaurant is at point N(7, 1). What is the slope of the line connecting the store and the restaurant?

• -0.5

• 0.5

• 2

• 1

8. The coordinates of two landmarks are O(4, 5) and P(10, 15). Find the distance between these two landmarks.

• 5√34

• 2√34

• √34

• 3√34

9. A river flows from point Q(1, 1) to point R(7, 3). What is the midpoint of the river's path?

• (3, 2)

• (5, 1)

• (6, 4)

• (4, 2)

10. A hiking trail connects point S(-2, -1) to point T(2, 3). Determine the slope of the hiking trail.

• 0.5

• -1

• 2

• 1