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This diagram can be used to prove the Pythagorean theorem.

In analyzing this diagram, which statement represents a crucial step in proving the Pythagorean theorem using this diagram?
A) Recognize that the large square on the left contains two smaller squares.
B) Recognize that the purple triangles and the yellow square have equal areas.
C) Recognize that the blue square and the yellow square are not equal in area.
D) See that the red and purple triangles can be subtracted from both pictures.

This diagram can be used to prove the Pythagorean theorem In analyzing this diagram which statement represents a crucial step in proving the Pythagorean theore class=

Respuesta :

Answer:

D) See that the red and purple triangles can be subtracted from both pictures

Step-by-step explanation:

I just did answered this question on USATestprep

Answer:

D) See that the red and purple triangles can be subtracted from both pictures.

Step-by-step explanation:

The last option is mandatory to demonstrate the Pythagorean Theorem because if we subtract red and purple triangle for both pictures, it will remain only the squares, and the sum of the red and green ones would be equal than the blue one on the second picture, with demonstrate the theorem. It would be like:

[tex]a^{2}+b^{2}=c^{2}[/tex]

Which actually is the Pythagorean Theorem. This graphic demonstration is often used in high school level to make students see the equivalence in that theorem.

Therefore, the answer is D.

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