Mathematics, 02.08.2019 19:00 melaniegilbreath

Consider the diagram and proof by contradiction. given: △abc with ab ≅ ac since it is given that ab ≅ ac, it must also be true that ab = ac. assume ∠b and ∠c are not congruent. then the measure of one angle is greater than the other. if m∠b > m∠c, then ac > ab because of the triangle parts relationship theorem. for the same reason, if m∠b < m∠c, then ac < ab. this is a contradiction to what is given. therefore, it can be concluded that

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Consider the diagram and proof by contradiction. given: △abc with ab ≅ ac since it is given that ab...