# Length of a Line Segment Worksheets

How to Measure the Length of a Line Segment When Given Ordered Pairs - Remember that a line segment is the portion of a straight line that directly connects two given points. Unlike a line, it does not extend off to infinity in both directions. To find the length, we just use the distance formula between the two points provided. For lessons like this, often the easiest way to learn is by working out an example. Example: Find the distance between (-2, 8) and (-7,-5). Said another way, find the length of the line segment between points (-2, 8) and (-7,-5). First, find the distance between the x-coordinates. To do this, subtract one number from the other and then take its absolute value. We have: |-2 - (-7)| = |5| = 5. Then repeat with the y-coordinates. We have: |8- (-5)| = |13| = 13. NOTE: It does NOT matter which way you subtract the numbers because the absolute value of the answer would be the same anyway. Finally, to compete the length (or distance), square BOTH values, add them, and take the square root. Here's the first part: 5 2 + 13 2 = 25 + 169 = 194 Taking the square root of 194 and rounding to TWO decimal places, we get a distance of 13.93: √(194) = 13.93 By the way, what you are actually doing is using the Pythagorean Theorem on an imaginary right triangle with the line joining the two lines being the hypotenuse. The general formula for distance between two points is the following: √x 2 + y 2 , where x and y are the change in x and y between the two points.

• ### Basic Lesson

Guides students solving equations that involve an Length of a Line Segments. Demonstrates answer checking.

• ### Intermediate Lesson

Demonstrates how to solve more difficult problems. The point (5,4) lies on a circle. What is the length of the radius of this circle if the center is located at (3,2)?

• ### Independent Practice 1

A really great activity for allowing students to understand the concept of Length of a Line Segments.

• ### Independent Practice 2

Students find the Length of a Line Segments in assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with problems to achieve the concepts of Length of a Line Segments.

• ### Skill Quiz

This tests the students ability to evaluate Length of a Line Segments.