## Pythagorean Theorem On Coordinate Systems

#### Aligned To Common Core Standard:

**Grade 8 Geometry** - 8.G.B.8

How to Use the Pythagorean Theorem on Coordinate Systems - Finding the length using Pythagoras theorem on a coordinate system can sometimes sound difficult, but it is very easy. The majority of the students are familiar with the concept of Pythagoras theorem, where the square on the hypotenuse is equal to the sum of the square of the remaining two sides of the same triangle.
The coordinate system can be used to make sure that the lengths of your known sides of the triangle can be easily found. If a and b are the legs of the triangle that c is the hypotenuse and the theorem will be presented as: a^{2} + b^{2} = c^{2}

### Printable Worksheets And Lessons

- Finding Distance Step-by-Step Lesson- Find the distance between two points by using triangle
theory.

- Guided Lesson - Find
the distance of points that are plotted over all kinds of quadrants.

- Guided Lesson Explanation
- By the end of this unit you will be Pythagorean experts; at least
when working with coordinate systems.

- Independent Practice
- 8 practice problems that will take about 5 minutes each. They
are spread over 4 pages.

- Matching Worksheet
- Find the distances that match the graphs that we present you with.

- Distance Formula Worksheet Five Pack - You are basically looking to see how far two things are apart.

#### Homework Sheets

The coordinate graph makes it much more understandable than just labeling sides.

- Homework 1 - Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
- Homework 2 - Create your own little triangle to get this one done.
- Homework 3 - Find the distance between (1, 4) and (3, -4).

#### Practice Worksheets

We start to find random distances between points.

- Practice 1 - More points and the distances that keep them apart.
- Practice 2 - The lines rise and fall.
- Practice 3 - Use Pythagorean Theorem we count the column and given the value of a and b from find the length of two points a and b.

#### Math Skill Quizzes

Here are more like problems to help you master this topic.