# Find the Length of Line Segments

In this worksheet, students will state the length of a vertical or horizontal line segment when they are given the coordinates of its endpoints.

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Use Coordinates in All Four Quadrants

Popular topics:   Algebra worksheets, Year 7 Algebra worksheets

Difficulty level:

#### Worksheet Overview

To find the length of a line segment, given the coordinates of its endpoints, we can use two methods.

Example

Find the length of the line segment AC whose endpoints are at:

A(-5, -3) and C(3, -3).

Method 1

Plot the points and count the squares.

This is a good method if you have time to do it and paper and pencil to hand!

AC is 8 units long. Just write 8

Method 2

If you don't have the time to plot the coordinates, this method is the best!

Subtract the relevant coordinates.

The x-coordinates of the endpoints of vertical lines will be the same.

The y-coordinates of the endpoints of horizontal lines will be the same.

A is at (-5, -3) and C is at (3, -3).

The line AC is horizontal because the y-coordinates are both -3.

Subtract the x-coordinates:  -5 - 3 = -8 or 3 - -5 = 8.

Ignore the sign:  -8 or 8 means a length of 8 units. Just write 8.

For vertical lines, we would subtract the y-coordinates.

Let's give it a try in some questions now.

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The text passage provides an explanation and example for finding the length of a horizontal or vertical line segment given the coordinates of its endpoints. It describes two methods: plotting the points and counting the squares, or subtracting the relevant coordinates.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Find the Length of Line Segments

In this worksheet, students will state the length of a vertical or horizontal line segment when they are given the coordinates of its endpoints.

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Use Coordinates in All Four Quadrants

Popular topics:   Algebra worksheets, Year 7 Algebra worksheets

Difficulty level:

#### Worksheet Overview

To find the length of a line segment, given the coordinates of its endpoints, we can use two methods.

Example

Find the length of the line segment AC whose endpoints are at:

A(-5, -3) and C(3, -3).

Method 1

Plot the points and count the squares.

This is a good method if you have time to do it and paper and pencil to hand!

AC is 8 units long. Just write 8

Method 2

If you don't have the time to plot the coordinates, this method is the best!

Subtract the relevant coordinates.

The x-coordinates of the endpoints of vertical lines will be the same.

The y-coordinates of the endpoints of horizontal lines will be the same.

A is at (-5, -3) and C is at (3, -3).

The line AC is horizontal because the y-coordinates are both -3.

Subtract the x-coordinates:  -5 - 3 = -8 or 3 - -5 = 8.

Ignore the sign:  -8 or 8 means a length of 8 units. Just write 8.

For vertical lines, we would subtract the y-coordinates.

Let's give it a try in some questions now.

### What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started
user
The text passage provides an explanation and example for finding the length of a horizontal or vertical line segment given the coordinates of its endpoints. It describes two methods: plotting the points and counting the squares, or subtracting the relevant coordinates.

TYPE: SINGLE_QUESTION_WITH_ANSWER