Mathematics, 28.01.2020 18:50 okaiikk
The proof that δmns ≅ δqns is shown. given: δmnq is isosceles with base mq, and nr and mq bisect each other at s. prove: δmns ≅ δqns
we know that δmnq is isosceles with base mq. so, mn ≅ qn by the definition of isosceles triangle. the base angles of the isosceles triangle, ∠nms and ∠nqs, are congruent by the isosceles triangle theorem. it is also given that nr and mq bisect each other at s. therefore congruent by the definition of bisector. thus, δmns ≅ δqns by sas.
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