CK-12 Geometry-Concepts

http://www.ck12.org Chapter 9. Circles

TABLE9.2:

Statement Reason

1. Inscribed^6 ABCand diameterBD
   m^6 ABE=x◦andm^6 CBE=y◦
   2.x◦+y◦=m^6 ABC


2. All radii are congruent


3. Definition of an isosceles triangle
   5.m^6 EAB=x◦andm^6 ECB=y◦
   6.m^6 AED= 2 x◦andm^6 CED= 2 y◦
   7.mAD̂= 2 x◦andmDĈ= 2 y◦


4. Arc Addition Postulate
   9.mAĈ= 2 x◦+ 2 y◦


5. Distributive PoE
   11.mAĈ= 2 m^6 ABC
   12.m^6 ABC=^12 mAĈ