Distance of Line

What is the relationship between the Pythagorean theorem and the distance formula for a line segment?

• The Pythagorean theorem is only applicable to right triangles, while the distance formula can be used for any line segment.

• The distance formula is a special case of the Pythagorean theorem.

• The Pythagorean theorem is a special case of the distance formula for a line segment.

• The Pythagorean theorem and the distance formula are unrelated.

If the coordinates of two points on a line segment are (0, 0) and (8, 6), what is the length of the line segment?

• 10

• 16

• 12

• 14

How many feet did the frisbee travel?

• 244 feet

• 345 feet

• 18 feet

• 16 feet

Heidi helped build a slide at a local park. The ladder is 6 feet high, and the slide is 7 feet long. Approximately how far is the bottom of the ladder from the bottom of the slide?

• 3.6 feet

• 9.2 feet

• 13 feet

• 6.5 feet

Find the distance between (-4, 5) and (7, 18).

• 15.96

• 16.08

• 16.23

• 17.03

Becky leaves school to go home. She walks 6 blocks North and then 8 blocks west. How far is Becky from the school?

• 14 blocks

• 12 blocks

• 10 blocks

• 8.5 blocks

The distance of a line segment can be defined as:

• How far away you are from the line

• The length of the line segment from one end point to the other end point

• The middle of the line segment

• None of these

What is the distance of the line segment AB with endpoints A(3, 6) and B(6, 2)?

• 5

• 25

• 9

• 8

Mary rides her bike from her house at (0, 0) to her friend's house at (0, 4). How far did she ride?

• 16

• 0

• 4

• None of these

A boat needs to travel from one island to another to deliver food. The first island is at (0, 8) and the second island is at (0, -4). The islands are ______ miles away from each other.