Home > Math Topics > Trigonometry >

## Finding the Length of Line Segments

#### High School Geometry - HSG-GPE.B.7

What Is the Distance Formula? The distance formula is a useful tool to find the distance between two arbitrarily points. The formula is divided from the Pythagoras theorem which is the a2+b2= c2, where c is the longest side of a right-angled triangle. Suppose you are given two points (-2, 1) and (1, 5), which are located on different locations of the axes. In the present example, the x coordinate is on the negative x-axis, and the ordinate is on the positive y-axis. While both of the coordinates like on the positive side of the x and y-axis. This series of worksheets will use the coordinate plane to help students decipher the length of line segments.

### Printable Worksheets And Lessons  #### Homework Sheets

Use the end points to determine the length.

• Homework 1 - We can use the distance formula to determine the length of this line.
• Homework 2 - The distance formula asks us to take the square root of (x2 - x1)2 + (y2 - y1)2
• Homework 3 - Find the length of the line segment whose endpoints are: (-5, 5) and (14, 10).

#### Practice Worksheets

The distance formula is something we encourage students to memorize. It is not often given on standard tests.

• Practice 1 - Find the distance between the points (9, -9) and (8, 7)
• Practice 2 - Where is the point in your mind?
• Practice 3 - You can also use geometry to find this one.

#### Math Skill Quizzes

All the questions are positioned in the way you will see them on assessments. There are really only two formats that we have seen.

• Quiz 1 - Don't forget what the negative value tells us.
• Quiz 2 - Please yourself forward with these.
• Quiz 3 - Where should I move with these values?