Question

The circle shown below has a center A.

The two-column proof with missing statement proves that in a circle or in congruent circles, if two chords are equidistant from the center of the circle, they are congruent.


Which statement can be used to fill in the blank space?

GI = FI

GK = FI

AJ = AH

GH = FJ

Answer 1

umm looks like all the work is already filled out.
the blank space applies the square root property
\[\sqrt{x^{2}} = x\]

Answer 2

okay thank you!

Answer 3

GK = FI
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I've not seen such a round-about proof for this theorem before. Interesting.