Proving the Pythagorean Theorem with Similar Triangles

What theorem is being proven using similar triangles in the video?

• Euclid's theorem

• Thales' theorem

• Fermat's Last Theorem

• Pythagorean theorem

What is the name of the point constructed perpendicular to the hypotenuse?

• Point H

• Point D

• Point Y

• Point X

What is the length from point A to point D referred to in the proof?

• Length C

• Length X

• Length Y

• Length H

What postulate is used to establish the similarity of triangles in the proof?

• Side-Side-Side similarity

• Angle-Angle similarity

• Side-Angle-Side similarity

• Angle-Side-Angle similarity

Which triangles are identified as similar due to the angle-angle similarity postulate?

• Triangle ABC and triangle DBC

• Triangle ABC and triangle BCD

• Triangle ABC and triangle ADB

• Triangle ABC and triangle ABD

Which of the following is a correct proportion set up during the proof?

• B over C equals C over Y

• A over B equals B over Y

• C over A equals A over X

• C over B equals B over Y

What algebraic method is used to combine the equations in the proof?

• Multiplication of equations

• Division of equations

• Addition of equations

• Subtraction of equations

What common factor is taken out from the equation CX plus CY?

• C

• X

• A

• Y

What is the final equation that proves the Pythagorean theorem in the video?

• X squared plus Y squared equals C squared

• A squared minus B squared equals C squared

• X squared plus Y squared equals Z squared

• A squared plus B squared equals C squared

Which statement best describes the relationship between X and Y in the proof?

• X divided by Y equals C

• X minus Y equals C

• X times Y equals C

• X plus Y equals C