Distance Challenges: Pythagorean Theorem in Action

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

• 4

• 7

Tags

CCSS.HSG.GPE.B.7

2. A school is at point S(1, 1) and a library is at point L(4, 5). If a student walks from the school to the library, how far do they walk?

• 3

• 7

• 6

• 5

Tags

CCSS.HSG.GPE.B.7

3. Two friends are standing at points F(3, 4) and G(7, 1) on a coordinate plane. Calculate the distance between the two friends.

• sqrt(20)

• 5

• sqrt(10)

• sqrt(13)

Tags

CCSS.HSG.GPE.B.7

4. A delivery truck starts at point D(0, 0) and needs to reach a customer at point C(6, 8). How far does the truck need to travel?

• 10

• 8

• 12

• 15

Tags

CCSS.HSG.GPE.B.7

5. A basketball court is represented by points B(2, 2) and C(8, 6). What is the distance between the two corners of the court?

• 2√13

• 6

• 4√3

• 10

Tags

CCSS.HSG.GPE.B.7

6. A drone flies from point P(3, 3) to point Q(6, 9). How far does the drone travel?

• 3√5

• 7

• 4√2

• 5

Tags

CCSS.HSG.GPE.B.7

7. A bike path runs from point A(1, 2) to point B(4, 6). If a cyclist rides along this path, what is the distance they cover?

• 3

• 5

• 7

• 4

Tags

CCSS.HSG.GPE.B.7

8. A runner starts at point R(0, 0) and runs to point S(3, 4). How far does the runner go?

• 4

• 5

• 6

• 7

Tags

CCSS.HSG.GPE.B.7

9. A city map shows a restaurant at point R(2, 5) and a hotel at point H(5, 1). What is the distance between the restaurant and the hotel?

• 7

• 4

• 3

• 5

Tags

CCSS.HSG.GPE.B.7

10. A person walks from point X(1, 1) to point Y(7, 7). Calculate the distance they have walked.

• 6√2

• 5√2

• 8

• 10

Tags

CCSS.HSG.GPE.B.7