What is the converse of the Pythagorean Theorem

What is the converse of the Pythagorean Theorem

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the converse of the Pythagorean Theorem. It begins with a brief review of conditional statements and their converses. The Pythagorean Theorem is then explained, stating that in a right triangle, the sum of the squares of the legs equals the square of the hypotenuse. The converse is introduced, which states that if a squared plus b squared equals c squared, then the triangle is a right triangle. The video concludes with a practical application of using the converse to determine if a triangle is a right triangle.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the converse of the Pythagorean theorem?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the notation 'if p then q' represent in the context of conditional statements?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the relationship between the legs and the hypotenuse in a right triangle according to the Pythagorean theorem.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the significance of the statement 'if a squared plus b squared equals c squared, then you have a right triangle.'

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you determine if a triangle is a right triangle using the Pythagorean theorem?

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