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  • 03-07-2020
  • Mathematics
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Geometry Proof: Given: ∠1 ≅ ∠2 ∠3 ≅ ∠4 Prove: M is the midpoint of JK

Geometry Proof Given 1 2 3 4 Prove M is the midpoint of JK class=

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unicorn3125
unicorn3125 unicorn3125
  • 03-07-2020

|∠JOM| = 180° - |∠3| - |∠1| = 180° - |∠4| - |∠2| = |∠KOM|

|∠JOM| ≅ |∠KOM|

|∠1|≅|∠2|  ∧  |MO| = |MO| ∧  |∠JOM| ≅ |∠KOM|  ⇒

⇒ ΔIMO≡ΔKMO  ⇒ |IM| = MK| ⇒ M is the mp of JK

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