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Pythagorean Models

Authored by Anthony Clark

Mathematics

8th Grade

CCSS covered

Pythagorean Models
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18 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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?

Media Image
Media Image
Media Image

Tags

CCSS.8.G.B.8

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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.

Tags

CCSS.3.MD.C.5A

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Tags

CCSS.8.G.B.8

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The Pythagorean Theorem ONLY works on which triangle? 

obtuse

scalene

isosceles

right

Tags

CCSS.8.G.B.8

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

6.

MULTIPLE CHOICE QUESTION

1 min • 4 pts

Media Image

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

7.

MULTIPLE CHOICE QUESTION

1 min • 4 pts

Media Image

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

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