Coordinate Challenges: Midpoints & Distances in Action

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

• (6, 6)

• (5, 5)

• (4, 5)

• (7, 4)

Tags

CCSS.HSG.GPE.B.6

3. A delivery truck travels from point E(3, 4) to point F(7, 8). Calculate the distance the truck travels.

• 2√5

• 3√5

• √20

• 4√5

Tags

CCSS.HSG.GPE.B.7

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

• (4, 4)

• (6, 6)

• (7, 7)

• (8, 8)

Tags

CCSS.HSG.GPE.B.6

5. A school is located at point G(0, 0) and a library is at point H(6, 8). How far apart are the school and the library?

• 5

• 10

• 8

• 12

Tags

CCSS.HSG.GPE.B.7

6. If point I(2, 2) is one endpoint of a line segment and the midpoint is (4, 5), what are the coordinates of the other endpoint?

• (4, 3)

• (5, 6)

• (6, 8)

• (3, 4)

Tags

CCSS.HSG.GPE.B.6

7. A bike path runs from point J(1, 2) to point K(9, 10). What is the distance of the bike path?

• 5√2

• 8√2

• 6√2

• 8

• 10

Tags

CCSS.HSG.GPE.B.7

8. The coordinates of two points are L(-2, -1) and M(4, 3). Find the midpoint of the segment connecting these two points.

• (0, 1)

• (2, 2)

• (3, 1)

• (1, 1)

Tags

CCSS.HSG.GPE.B.6

9. A runner starts at point N(3, 3) and runs to point O(7, 7). What is the distance covered by the runner?

• 4√2

• 3√2

• 5

• 6√2

Tags

CCSS.HSG.GPE.B.7

10. If the midpoint of a line segment is (6, 6) and one endpoint is (4, 4), what is the other endpoint's coordinates?

• (8, 8)

• (6, 8)

• (7, 7)

• (5, 5)

Tags

CCSS.HSG.GPE.B.6