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Jasten
08.02.2021 •
Mathematics
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Ответ:
Step-by-step explanation:
Given:CM ⊥ AB ∠3 = ∠4To prove: △AMC ≅ △BMC Solution:∠ACM≅∠BCM - givenCM⊥AB - given, therefore
∠AMC = 90° and ∠BMC = 90°Then
∠AMC ≅ ∠BMCSide CM is common, therefore is congruent to itselfSo we have congruent two angles and a side between them on triangles AMC and BMC:
△AMC ≅ △BMC as per ASA congruency theorem