Statements Reasons 1. circle cap o ; angle cap A intercepts overarc BC ; angle cap d intercepts overarc BC 1. given 2. m angle cap A is equal to 1 half times open paren m overarc BC close paren 2. ? 3. m angle cap d is equal to 1 half times open paren m overarc BC close paren 3. ? 4. m angle cap A is equal to m angle cap d 4. substitution property 5. angle cap A is congruent to angle cap d 5. definition of congruent angles Two statements are missing reasons. What reason can be used to justify both statements 2 and 3 ?
Answer
A
angle formed by a tangent and a chord is half the measure of the intercepted arc.
B
inscribed angles theorem
C
central angle of a triangle has the same measure as its intercepted arc.