Question

Mr. Williams had this proof on the board. He asked the class to come up with the reasons to prove each statement is true. Which would not be a reason?Given: Circle A with tangents BC and DCProve: BC ≅ DC

Answer 1

The Two-Tangent Theorem states that if two tangent segments are drawn to one circle from the same external point, then they are congruent.

The tangents BC and DC are drawn from a common point C to the circle A.

Therefore, by The Two-Tangent Theorem:

BC ≅ DC

Hence, the required reason is:

The Two-Tangent Theorem