Distance & Midpoint: Geometry Challenges for Grade 7

1. A park has two benches located at points A(2, 3) and B(8, 7). What is the midpoint of the segment connecting the two benches?

• (7, 4)

• (5, 5)

• (6, 6)

• (4, 5)

2. If the endpoints of a line segment are C(-4, 1) and D(6, 5), what is the distance between points C and D?

• 2√29

• 10

• 5√2

• √58

3. A delivery truck travels from point P(1, 2) to point Q(5, 6). What is the midpoint of the route taken by the truck?

• (4, 5)

• (2, 3)

• (6, 7)

• (3, 4)

4. The endpoints of a swimming pool are located at E(0, 0) and F(10, 0). How far apart are the two ends of the pool?

• 5

• 10

• 15

• 20

5. A school is located at point G(3, 4) and a library is at point H(7, 8). What is the distance between the school and the library?

• 3√5

• √20

• 4√2

• 2√5

6. If the midpoint of a segment is M(4, 5) and one endpoint is N(2, 3), what are the coordinates of the other endpoint?

• (8, 5)

• (4, 3)

• (2, 7)

• (6, 7)

7. A bike path runs from point R(1, 1) to point S(9, 5). Calculate the distance of the bike path.

• 6

• 4√5

• 5√3

• 8√2

8. The endpoints of a line segment are T(-3, -2) and U(3, 4). What is the midpoint of the segment connecting T and U?

• (3, 3)

• (-2, 1)

• (1, 2)

• (0, 1)

9. A city is located at point V(2, 2) and a park is at point W(8, 6). What is the distance between the city and the park?

• 4√5

• 6

• 2√13

• 10

10. If the midpoint of a segment is X(5, 5) and one endpoint is Y(3, 3), what is the other endpoint's coordinates?

• (4, 4)

• (6, 6)

• (7, 7)

• (8, 8)