Question
This picture shows a proof of the Pythagorean theorem because
(1 point)
Responses
a < b < c, so the Pythagorean theorem holds true.
a < b < c, so the Pythagorean theorem holds true.
a = b = c, so the Pythagorean theorem holds true.
a = b = c, so the Pythagorean theorem holds true.
The yellow triangles fill up the large squares just enough to have a small square in each figure.
The yellow triangles fill up the large squares just enough to have a small square in each figure.
The four yellow triangles are congruent in both large squares and the large squares are congruent, so c2=a2+b2
(1 point)
Responses
a < b < c, so the Pythagorean theorem holds true.
a < b < c, so the Pythagorean theorem holds true.
a = b = c, so the Pythagorean theorem holds true.
a = b = c, so the Pythagorean theorem holds true.
The yellow triangles fill up the large squares just enough to have a small square in each figure.
The yellow triangles fill up the large squares just enough to have a small square in each figure.
The four yellow triangles are congruent in both large squares and the large squares are congruent, so c2=a2+b2
Answers
GPT 3.5
The yellow triangles fill up the large squares just enough to have a small square in each figure. This demonstrates visually that the sum of the areas of the two smaller squares equals the area of the larger square, confirming the Pythagorean theorem.