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Yuliya22 [10]
3 years ago
15

Urgent:

Mathematics
1 answer:
rjkz [21]3 years ago
5 0

Step-by-step explanation:

<h3>Given:</h3>
  • CM ⊥ AB
  • ∠3 = ∠4
<h3>To prove: </h3>
  • △AMC ≅ △BMC
<h3>Solution:</h3>
  • ∠ACM≅∠BCM - given

<u>CM⊥AB - given, therefore</u>

  • ∠AMC = 90° and ∠BMC = 90°

<u>Then</u>

  • ∠AMC ≅ ∠BMC
  • Side CM is common, therefore is congruent to itself

<u>So we have congruent two angles and a side between them on triangles AMC and BMC:</u>

  • △AMC ≅ △BMC as per ASA congruency theorem
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