Consider the diagram and proof by contradiction.
given: △abc with ∠b ≅ ∠c
prove: ab ≅...
Mathematics, 22.09.2019 12:00 neazisa
Consider the diagram and proof by contradiction.
given: △abc with ∠b ≅ ∠c
prove: ab ≅ ac
it is given that ∠b ≅ ∠c. assume ab and ac are not congruent. if ab > ac, then m∠c > m∠b by if ac > ab, then m∠b > m∠c for the same reason. however, using the given statement and the definition of congruency, we know that m∠b = m∠c. therefore, ab = ac and ab ≅ ac.
what is the missing reason in the proof?
converse of the triangle parts relationship theorem
substitution
definition of congruency
converse of the isosceles triangle theorem
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