Distance and Pythagorean Problems Using Coordinates

1. A point A is located at (2, 3) and point B is at (5, 7). What is the distance between points A and B using the distance formula?

• 5

• 4

• 7

• 3

Tags

CCSS.HSG.GPE.B.7

2. A right triangle has one leg measuring 6 units and the other leg measuring 8 units. What is the length of the hypotenuse?

• 14

• 8

• 10

• 12

Tags

CCSS.8.G.B.7

3. If point C is at (1, 1) and point D is at (4, 5), how far apart are these two points?

• 10

• 7

• 5

• 3

Tags

CCSS.HSG.GPE.B.7

4. A ladder is leaning against a wall, forming a right triangle with the ground. If the base of the ladder is 9 feet from the wall and the ladder is 12 feet long, how high up the wall does the ladder reach?

• 7.94 feet

• 10 feet

• 5 feet

• 9.5 feet

Tags

CCSS.8.G.B.8

5. Two cities are located at coordinates (3, 4) and (7, 1). Calculate the distance between the two cities.

• 2.8284271247461903

• 3.605551275463989

• 5.0

• 4.47213595499958

Tags

CCSS.HSG.GPE.B.7

6. A rectangular park has corners at (0, 0), (0, 6), (8, 0), and (8, 6). What is the length of the diagonal of the park?

• 8

• 12

• 6

• 10

Tags

CCSS.HSG.GPE.B.7

7. A drone flies from point E at (2, 2) to point F at (6, 6). How far does the drone travel?

• 4√2

• 8

• 3√2

• 5

Tags

CCSS.HSG.GPE.B.7

8. A right triangle has a hypotenuse of 10 units and one leg measuring 6 units. What is the length of the other leg?

• 8

• 5

• 9

• 7

Tags

CCSS.8.G.B.7

9. The distance between points G (3, 3) and H (3, 8) is the same as the distance between points I (1, 1) and J (1, 6). What is the distance between points G and H?

• 6

• 3

• 5

• 8

Tags

CCSS.HSG.GPE.B.7

10. A triangle has vertices at (1, 2), (4, 6), and (1, 6). What is the length of the side connecting the points (1, 2) and (1, 6)?

• 2

• 5

• 3

• 4

Tags

CCSS.6.G.A.3