Distance and Translation on the Coordinate Plane

1. A park is located at point A(2, 3) and a playground is at point B(5, 7). What is the distance between the park and the playground?

• 5

• 3

• 7

• 4

2. If you move point C(4, 1) two units to the right and one unit up, where will point C be located?

• (5, 1)

• (6, 2)

• (4, 2)

• (6, 1)

3. A school is at point D(1, 4) and a library is at point E(4, 4). How far apart are the school and the library?

• 3

• 7

• 2

• 5

4. Translate point F(3, 2) three units left and two units down. What are the new coordinates of point F?

• (0, 2)

• (1, 2)

• (3, 0)

• (0, 0)

5. A store is located at point G(6, 5) and a restaurant is at point H(6, 1). What is the distance between the store and the restaurant?

• 5

• 3

• 4

• 2

6. If point I(0, 0) is moved to point J(3, 4), what is the distance between points I and J?

• 4

• 6

• 7

• 5

7. Translate point K(2, 2) one unit right and three units up. What are the new coordinates of point K?

• (3, 5)

• (3, 2)

• (2, 5)

• (1, 5)

8. A zoo is at point L(5, 5) and an aquarium is at point M(1, 1). Calculate the distance between the zoo and the aquarium.

• 4√2

• 3√2

• 6√2

• 5

9. If point N(7, 3) is moved two units left and one unit down, what are the new coordinates of point N?

• (5, 1)

• (5, 2)

• (7, 2)

• (6, 3)

10. A movie theater is at point O(3, 6) and a bowling alley is at point P(3, 2). How far apart are the movie theater and the bowling alley?

• 2

• 6

• 8

• 4