Given: Circle O; intercepts; D intercepts Prove: Two statements are missing reasons. What reason can be used to justify both statements 2 and 3? Statements Reasons 1. circle O; 1. given 2. 2.? 3. 3.? 4. 4. substitution property 5. 5. definition of congruent angles inscribed angles theorem third corollary to the inscribed angles theorem central angle of a triangle has the same measure as its intercepted arc. formed by a tangent and a chord is half the measure of the intercepted arc.
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