Distance & Translation Challenges 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?

• 7

• 3

• 4

• 5

Tags

CCSS.HSG.GPE.B.7

2. If a point C(4, 1) is translated 3 units to the right and 2 units up, what are the new coordinates of point C?

• (6, 4)

• (4, 3)

• (5, 2)

• (7, 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

3. A school is at point D(-1, -2) and a library is at point E(3, 4). Calculate the distance between the school and the library.

• 4√2

• 5

• √13

• 2√13

Tags

CCSS.HSG.GPE.B.7

4. A point F(0, 0) is moved 4 units left and 3 units down. What are the new coordinates of point F?

• (-4, 3)

• (0, -3)

• (-4, -3)

• (4, 3)

Tags

CCSS.5.G.A.1

5. A store is located at point G(6, 2) and a restaurant is at point H(2, 5). How far apart are the store and the restaurant?

• 4

• 5

• 7

• 3

Tags

CCSS.HSG.GPE.B.7

6. If point I(-3, 4) is translated 5 units to the left and 1 unit down, what are the coordinates of point I after the translation?

• (-8, 3)

• (-3, 3)

• (-8, 4)

• (-4, 5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

7. A zoo is at point J(1, 1) and an aquarium is at point K(4, 5). Find the distance between the zoo and the aquarium.

• 3

• 7

• 5

• 4

Tags

CCSS.HSG.GPE.B.7

8. Point L(2, -3) is translated 2 units up and 1 unit to the right. What are the new coordinates of point L?

• (4, -3)

• (3, -1)

• (2, -1)

• (3, -2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

9. A movie theater is located at point M(-2, 3) and a mall is at point N(1, -1). Calculate the distance between the movie theater and the mall.

• 5

• 4

• 7

• 3

Tags

CCSS.HSG.GPE.B.7

10. If point O(3, 2) is moved 6 units to the left and 4 units up, what are the new coordinates of point O?

• (-3, 6)

• (3, 6)

• (-3, 2)

• (0, 0)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5