Exploring Distances: Real-Life Coordinate Challenges

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

• 3

• 7

• 4

• 5

Tags

CCSS.HSG.GPE.B.7

2. A delivery truck starts at the point (1, 1) and needs to reach a warehouse at (4, 5). Calculate the distance the truck must travel.

• 6

• 7

• 3

• 5

Tags

CCSS.HSG.GPE.B.7

3. Two friends are standing at points A(3, 4) and B(7, 1) in a field. How far apart are they from each other?

• √13

• √10

• 4.5

• 5

Tags

CCSS.HSG.GPE.B.7

4. A school is located at (0, 0) and a library is at (6, 8). If a student walks directly from the school to the library, how many units does the student walk?

• 15

• 8

• 12

• 10

Tags

CCSS.8.G.B.8

5. A bike path runs from point (2, 2) to point (8, 6). What is the length of the bike path?

• 2√13

• 3√10

• 4√5

• 6√2

Tags

CCSS.HSG.GPE.B.7

6. A city map shows a coffee shop at (3, 5) and a bookstore at (6, 9). What is the distance between the coffee shop and the bookstore?

• 5

• 10

• 7

• 3

Tags

CCSS.HSG.GPE.B.7

7. A runner starts at point (1, 2) and finishes at (4, 6). How far did the runner travel?

• 7

• 10

• 5

• 3

Tags

CCSS.HSG.GPE.B.7

8. A drone flies from point (2, 3) to (5, 7). Calculate the distance the drone covered during its flight.

• 7

• 5

• 4

• 3

Tags

CCSS.HSG.GPE.B.7

9. A car is parked at (0, 0) and needs to reach a gas station at (3, 4). What is the distance the car must drive?

• 6

• 4

• 7

• 5

Tags

CCSS.HSG.GPE.B.7

10. A hiking trail starts at (1, 1) and ends at (7, 3). How long is the hiking trail?

• 4√2

• 5

• 2√10

• 3√5

Tags

CCSS.HSG.GPE.B.7