Pythagorean Models

1. When three squares are joined at their vertices to form a right triangle, the combined area of the two smaller squares is the same as the area of the larger square.

Which three squares do NOT support this statement?

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• 
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A teacher is showing his student Jacob to join three squares at their vertices to create the figure shown in the diagram. The student will use small congruent square tiles to cover each region without any gaps or overlaps. Based on the information, which statement is true?

• The number of tiles needed to cover Square R is the same as the number of square tiles needed to cover Square G and Square M

• The number of tiles needed to cover Square G is the same as the number of tiles needed to cover both Square R and Square M.

• The number of tiles needed to cover Square M is the same as the number of square tiles needed to cover Square R and Square G.

The legs of a right triangle are represented by a and b, and the hypotenuse of the right triangle is represented by c. Which equation represents the Pythagorean Theorem?

• a² + b² = c²

• a² + c² = b²

• a + b = c

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse

• scalene

• isosceles

• right

Which of the following sentences would belong in the proof that describes this image?

• The sum of the areas of the two smaller squares is equal to the area of the large square.

• The sum of the side lengths of the two smaller squares is equal to the side length of the large square.

• The difference of the areas of the two smaller squares is equal to the area of the large square.

• The differences of the side lengths of the two smaller squares is equal to the side length of the large square.

Which Pythagorean Triple does the picture illustrate?

• 4, 5, 6

• 2, 3, 4

• 3, 4, 5

• 1, 2, 3

All of the a square plus all of the b square will perfectly fill the c square with nothing left over.

• True

• False

Which side is the hypotenuse?

• 9

• x

• 14

• F

• G

• H

• J

• F

• G

• H

• J