Distance and Midpoint Problems in Real Life Scenarios

1. A park is located at point A (2, 3) and a playground is at point B (8, 7). What is the midpoint between the park and the playground?

• (5, 5)

• (7, 8)

• (6, 6)

• (4, 5)

Tags

CCSS.HSG.GPE.B.6

2. Two friends, Sarah and John, live at points (1, 2) and (5, 6) respectively. How far apart do they live from each other?

• 4√2

• 5

• 6√2

• 3√2

Tags

CCSS.HSG.GPE.B.7

3. A delivery truck starts at point (3, 4) and needs to reach a warehouse at point (9, 10). Calculate the distance the truck must travel.

• 6√2

• 5√2

• 8

• 7√2

Tags

CCSS.HSG.GPE.B.7

4. The coordinates of a library are (4, 8) and a school are (10, 12). What is the midpoint of the line segment connecting the library and the school?

• (7, 10)

• (8, 12)

• (6, 9)

• (5, 10)

Tags

CCSS.HSG.GPE.B.6

5. A bike path runs from point (0, 0) to point (6, 8). What is the total distance of the bike path?

• 15

• 12

• 10

• 8

Tags

CCSS.HSG.GPE.B.7

6. A movie theater is located at (3, 5) and a restaurant is at (7, 1). What is the distance between the two locations?

• 2√5

• √20

• 4√5

• 5√2

Tags

CCSS.HSG.GPE.B.7

7. The midpoint of a segment is (5, 5). If one endpoint is (3, 7), what are the coordinates of the other endpoint?

• (6, 4)

• (4, 6)

• (5, 7)

• (7, 3)

Tags

CCSS.HSG.GPE.B.6

8. A runner starts at point (2, 2) and finishes at point (10, 10). How far did the runner travel?

• 8√2

• 10

• 12√2

• 8

• 6√2

Tags

CCSS.HSG.GPE.B.7

9. A school is located at (1, 1) and a community center is at (9, 5). What is the distance between the school and the community center?

• 6

• 4√5

• 5√2

• 3√10

Tags

CCSS.HSG.GPE.B.7

10. The coordinates of two bus stops are (2, 3) and (8, 9). What is the midpoint of the segment connecting these two bus stops?

• (5, 6)

• (3, 4)

• (6, 7)

• (4, 5)

Tags

CCSS.HSG.GPE.B.6