Midpoint and Distance: 7th Grade Math Challenges

1. A park is located at point A (2, 3) and point B (8, 7). What is the midpoint of the line segment connecting these two points?

• (7, 8)

• (5, 5)

• (6, 6)

• (4, 5)

Tags

CCSS.HSG.GPE.B.6

2. If the distance between point C (1, 1) and point D (4, 5) is needed for a construction project, what is that distance?

• 6

• 7

• 5

• 3

Tags

CCSS.HSG.GPE.B.7

3. A delivery truck travels from point E (3, 4) to point F (7, 8). Calculate the midpoint of the route to determine where to stop for a break.

• (5, 6)

• (6, 7)

• (4, 5)

• (8, 9)

Tags

CCSS.HSG.GPE.B.6

4. Two friends are standing at points G (0, 0) and H (6, 8). How far apart are they from each other?

• 5

• 12

• 10

• 8

Tags

CCSS.HSG.GPE.B.7

5. A school is located at point I (5, 5) and a library at point J (1, 1). What is the distance between the school and the library?

• 4√2

• 3√2

• 6√2

• 5

Tags

CCSS.HSG.GPE.B.7

6. The midpoint of a segment is at (4, 4). If one endpoint is at (2, 2), what are the coordinates of the other endpoint?

• (4, 6)

• (6, 2)

• (6, 6)

• (2, 6)

Tags

CCSS.HSG.GPE.B.6

7. A bike path runs from point K (2, 2) to point L (10, 10). What is the distance of the bike path?

• 8√2

• 10√2

• 12

• 6√2

Tags

CCSS.HSG.GPE.B.7

8. A farmer has two fields located at points M (3, 7) and N (9, 1). What is the midpoint of the line segment that connects these two fields?

• (4, 6)

• (5, 5)

• (7, 3)

• (6, 4)

Tags

CCSS.HSG.GPE.B.6

9. A runner starts at point O (1, 2) and finishes at point P (4, 6). Calculate the distance the runner covered.

• 5

• 3

• 10

• 7

Tags

CCSS.HSG.GPE.B.7

10. The midpoint of a segment is at (6, 3). If one endpoint is at (8, 5), what are the coordinates of the other endpoint?

• (5, 4)

• (7, 2)

• (10, 6)

• (4, 1)

Tags

CCSS.HSG.GPE.B.6