Models of Pythagorean Thereom

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. Do these three squares support this statement?

• yes

• no

Tags

CCSS.8.G.B.6

CCSS.8.G.B.7

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. Do these three squares support this statement?

• yes, because the area of the smaller square and the area of the larger square is equal to the area of the medium square.

• yes, because the sum of the area of smaller square and the area of the medium square is equal to the area of the larger square.

• No, because the difference of the area of the medium square and the area of the larger square is equal to the area of the smaller square.

• No, because the sum of the area of smaller square and the area of the medium square does not equal to the area of the larger square.

Tags

CCSS.8.G.B.6

CCSS.8.G.B.7

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. Do these three squares support this statement?

• yes, because the sum of the area of the large square and the area of the small square is equal to the area of the medium square.

• Yes, because the sum of the area of the small square and the area of the medium square is equal to the area of the larger square.

• No, because the sum of the area of the large square and the area of the medium square is not equal to the area of the smaller square.

• No, because the sum of the area of the small square and the area of the medium square is not equal to the area of the larger square.

Tags

CCSS.8.G.B.6

CCSS.8.G.B.7

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. Do these three squares support this statement?

• yes

• no

Tags

CCSS.8.G.B.6

CCSS.8.G.B.7

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. Do these three squares support this statement?

• $yes,\ because\ a^2\ +\ b^2\ =c^2$

• $no,\ because\ a^2\ +\ b^2\ \ne c^2$

Tags

CCSS.8.G.B.6

CCSS.8.G.B.7

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. Do these three squares support this statement?

• yes

• no

Tags

CCSS.8.G.B.6

CCSS.8.G.B.7

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?

• 
• 
• 

Tags

CCSS.8.G.B.6

CCSS.8.G.B.7

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 support this statement? (note 2 answers)

• 
• 
• 
• 

Tags

CCSS.8.G.B.6

CCSS.8.G.B.7

The diagram shows three squares that are joined at vertices to form a right triangle.

Which statement is true?

• The sum of the areas of square A and square C is equal to the area of square B.

• The sum of the areas of square B and square C is equal to the area of square A.

• The sum of the areas of square of C and Square B and square A equal to the area of square C.

• The sum of the areas of square A and Square B is equal to the area of square C.

Tags

CCSS.8.G.B.6

CCSS.8.G.B.7

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.5

CCSS.3.MD.C.6

CCSS.3.MD.C.7