Question

The figure below shows circle with center A. Segment BC is tangent to the circle at point B and segment CE is tangent to the circle at point E.
The flow chart with missing reason proves that VABC congruent VAEC
Which missing reason should be filled in the blank space?

Answer 1

Since angle CEA and angle CBA makes 90 degrees
by pythogrean theorem
CE^2=AC^2-AE^2
similarly
CB^2=AC^2-AB^2
as AE=AB radii, CE=CB

Answer 2

that doesnt make sense...

Answer 3

its one of these-
Transitive Property
If two segments from the same interior point are tangent to the circle, then they are congruent.
If two segments from the same exterior point are tangent to a circle, then they are congruent.
Definition of a tangent line