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Lesson Plans and Worksheets for Grade 8

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 8

Common Core For Grade 8

Videos, examples, and solutions to help Grade 8 students learn how to explain a proof of the Pythagorean Theorem and its converse.

Common Core: 8.G.6

### Suggested Learning Targets

**Proving the Pythagorean Theorem 1 (8.G.6)**

The Pythagorean Theorem states that for any right angle, the sum of the squares of the measures of the 2 legs will equal the square of the measure of the hypotenuse.

Converse of the Pythagorean Theorem: If a triangle has the sum of the squares of the measure of its 2 legs equal to the square of the measure of the hypotenuse then it is a right triangle.

**Visual Pythagorean Theorem Proof**

Some basic geometry required.**The Pythagorean Theorem and The Converse of the Pythagorean Theorem**

This video shows how to use the Pythagorean Theorem and its Converse to determine if a triangle is acute, right, or obtuse.**How to prove Pythagoras' Theorem**

A short video to show how Pythagoras proved the theorem that bears his name.**The Converse of the Pythagorean Theorem**

A proof of the converse of the Pythagorean Theorem.**Proof of the Converse of Pythagoras' Theorem**

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Lesson Plans and Worksheets for Grade 8

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 8

Common Core For Grade 8

Common Core: 8.G.6

- I can define key vocabulary: square root, Pythagorean Theorem, right triangle, legs a and b, hypotenuse, sides, right angle, converse, base, height, proof.
- I can identify the legs and hypotenuse of a right triangle
- I can explain a proof of the Pythagorean Theorem
- I can explain a proof of the converse of the Pythagorean Theorem.

The Pythagorean Theorem states that for any right angle, the sum of the squares of the measures of the 2 legs will equal the square of the measure of the hypotenuse.

Converse of the Pythagorean Theorem: If a triangle has the sum of the squares of the measure of its 2 legs equal to the square of the measure of the hypotenuse then it is a right triangle.

Some basic geometry required.

This video shows how to use the Pythagorean Theorem and its Converse to determine if a triangle is acute, right, or obtuse.

A short video to show how Pythagoras proved the theorem that bears his name.

A proof of the converse of the Pythagorean Theorem.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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