Question

Given: AB is diameter, BC is tangent to circle O.

Prove: AXB~ABC

Answer 1

STATEMENT:

1. AB is diameter, BC is tangent to circle O.

2. < A = < A

3. < CBA is rt. <.

4. < BXA = 90 degrees

5. < CBA = < BXA

6. ^ AXB ~ ^ ABC

REASON:

1. Given

2. Reflexive

3. Radius to tangent

4. Inscribed in semicircle

5. All rt <'s = .

6. AA

Answer 2

Please see picture attached.