Question

Jimmy wrote the following proof to show that the diagnols of rectangle ABCD are congruent

Answer 1

Jimmy's proof shows that the diagonals of rectangle ABCD are congruent.

Step-by-step explanation:

Proof of Congruent Diagonals in a Rectangle

Jimmy's proof starts by considering the width of the Moon, KD = x, and assuming that the angle KHD is 0.5 degrees since the Moon's size in the sky is similar to the Sun's. He extends line AD to point F and shows that triangles HKD and KFD are congruent to shaded triangles and also have the same 0.5 degree angle at C. By proving that, he concludes that triangles GFC and AHD are congruent as well. Therefore, the diagonals of rectangle ABCD are congruent and AC = 3R and AB = 3x.

Answer 2

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