Pythagorean Proof

Tags

CCSS.8.G.B.8

• 9 + 9 = 81

• 16 + 9 = 25

Tags

CCSS.8.G.B.8

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.

Tags

CCSS.8.G.B.8

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

• True

• False

Tags

CCSS.8.G.B.8

Which Pythagorean Triple does the picture illustrate?

• 4, 5, 6

• 2, 3, 4

• 3, 4, 5

• 1, 2, 3

Tags

CCSS.8.G.B.8

• A

• B

• C

• D

Tags

CCSS.8.G.B.8

• A

• B

• C

• D

Tags

CCSS.3.MD.C.5A

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse

• scalene

• isosceles

• right

Tags

CCSS.8.G.B.8

What is the name for side c?

• head

• body

• hippopotamus

• hypotenuse

Select all that are true about the proof represented by this picture (click image if needed to see it full size).

• The figures overall have the same area.

• The shaded triangles changed size.

• The non-shaded space represents the same area.

Tags

CCSS.8.G.B.8