## Finding the Length of Line Segments

#### Aligned To Common Core Standard:

**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 a^{2}+b^{2}= c^{2}, 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

- Distance Formula Step-by-Step Lesson- We give you two point in the coordinate plane and ask you to the length of the line they create.
- Guided Lesson - What's the length of the line between points A and B?
- Guided Lesson Explanation - A healthy helping of distance formula to get your day started.
- Practice Worksheet - They have a little bit of change between the way each question is worded, but in the end they are the same question.
- Matching Worksheet - Match the distance of the lines to the points that can create a line of that length.

#### 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 (x
_{2}- x_{1})^{2}+ (y_{2}- y_{1})^{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.