Graphing Distances and Midpoints: 7th Grade Challenge

1. A point A is located at (2, 3) and point B is at (8, 7). What is the distance between points A and B?

• √50

• 5√2

• 2√13

• 3√13

2. If point C is at (4, 5) and point D is at (10, 1), find the midpoint of the line segment connecting C and D.

• (8, 2)

• (7, 3)

• (5, 4)

• (6, 3)

3. A park is represented on a graph with point E at (1, 2) and point F at (7, 8). Calculate the distance between points E and F.

• 5√2

• 8√2

• 7√2

• 6√2

4. The coordinates of two friends' houses are (3, 4) and (9, 10). How far apart are their houses?

• 6√2

• 7√2

• 5√2

• 8√2

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

• (7, 3)

• (7, 7)

• (3, 3)

• (5, 7)

6. A delivery truck travels from point G (2, 1) to point H (6, 5). What is the distance the truck travels?

• 8

• 3√2

• 5

• 4√2

7. The coordinates of a school are (4, 6) and a library are (10, 2). What is the distance between the school and the library?

• 4√5

• 6√2

• 2√13

• 8

8. If point I is at (0, 0) and point J is at (8, 6), find the midpoint of the segment connecting I and J.

• (4, 3)

• (2, 1)

• (6, 4)

• (5, 5)

9. A bike path runs from point K (1, 1) to point L (5, 5). How long is the bike path?

• 6

• 4√2

• 3√2

• 4

10. The coordinates of two parks are (2, 3) and (8, 9). What is the distance between the two parks?

• 8√2

• 6√2

• 5√2

• 7