Distance and Midpoints: 6th Grade Geometry Quest

1. Sarah and Tom are walking in a park. Sarah is at point A (2, 3) and Tom is at point B (8, 7). What is the distance between Sarah and Tom?

• 2 * sqrt(13)

• 5 * sqrt(2)

• sqrt(50)

• 3 * sqrt(10)

2. A bike path runs from point C (1, 1) to point D (5, 5). What is the midpoint of the bike path?

• (3, 3)

• (4, 4)

• (1, 5)

• (2, 2)

3. Emily is at point E (4, 2) and wants to meet her friend at point F (10, 6). How far apart are they?

• 2√13

• 6

• 8

• 4√5

4. The coordinates of two stores are G (3, 4) and H (7, 8). What is the distance between the two stores?

• 3√2

• √20

• 2√5

• 5

5. A straight road connects point I (0, 0) and point J (6, 8). What is the midpoint of this road?

• (1, 1)

• (3, 4)

• (2, 3)

• (4, 5)

6. A school is located at point K (2, 5) and a library is at point L (10, 1). How far apart are the school and the library?

• 4√5

• 10

• 6√2

• 8

7. The coordinates of a playground are M (1, 2) and a swimming pool are N (9, 10). What is the distance between the playground and the swimming pool?

• 8√2

• 5√2

• 10

• 6√2

8. A line segment connects point O (3, 3) and point P (9, 7). What is the midpoint of this line segment?

• (7, 6)

• (6, 5)

• (4, 4)

• (5, 5)

9. A farmer has two fields located at Q (4, 4) and R (12, 12). How far apart are the two fields?

• 5√2

• 6√2

• 8√2

• 10

10. The coordinates of a coffee shop are S (5, 1) and a bakery is at T (1, 5). What is the midpoint between the coffee shop and the bakery?

• (3, 3)

• (5, 5)

• (4, 2)

• (2, 4)