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Pythagorean Theorem On Coordinate Systems

Answer Keys Here

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: a2 + b2 = c2

Printable Worksheets And Lessons

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.

  • Quiz 1 - Straight up problems, literally.
  • Quiz 2 - This is how submarine engineers locate objects in the water.
  • Quiz 3 - Find the distance between (3, 0) and (-3,2).