Mastering Distance: Calculate and Apply in 2D Space

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

• 7

• 4

• 5

• 3

Tags

CCSS.HSG.GPE.B.7

2. Two friends are standing at points A(1, 1) and B(4, 5) in a coordinate plane. How far apart are they?

• 5

• 7

• 3

• 6

Tags

CCSS.HSG.GPE.B.7

3. A delivery truck starts at the warehouse located at (0, 0) and drives to a customer's house at (3, 4). Calculate the distance the truck traveled.

• 4

• 5

• 7

• 6

Tags

CCSS.HSG.GPE.B.7

4. A school is located at (6, 8) and a library is at (2, 3). What is the distance between the school and the library?

• √41

• √25

• √50

• √36

Tags

CCSS.HSG.GPE.B.7

5. A runner starts at point (3, 2) and finishes at point (7, 6). How many units did the runner cover?

• 5 units

• 4√2

• 10 units

• 3√2 units

Tags

CCSS.HSG.GPE.B.7

6. A bike path runs from point (1, 2) to point (4, 6). What is the length of the bike path?

• 4

• 5

• 3

• 7

Tags

CCSS.HSG.GPE.B.7

7. A drone flies from point (2, 5) to point (8, 9). Calculate the distance the drone traveled.

• 6√2

• 10

• 2√13

• 4√5

Tags

CCSS.HSG.GPE.B.7

8. A soccer field is marked with corners at (0, 0) and (10, 0). If a player runs from (0, 0) to (10, 10), how far does the player run?

• 10

• 5√2

• 15

• 10√2

Tags

CCSS.HSG.GPE.B.7

9. A city is planning to build a new road connecting two points: (3, 3) and (7, 1). What will be the length of the new road?

• 4√2

• 5

• 3√3

• 2√5

Tags

CCSS.HSG.GPE.B.7

10. A hiker walks from point (1, 1) to point (4, 4) and then to point (6, 1). What is the total distance the hiker covered?

• 3√2 + √13

• 5√2 + √10

• 2√5 + √8

• 4√2 + √5

Tags

CCSS.6.G.A.3