Question

Geometry Proof: Given: ∠1 ≅ ∠2 ∠3 ≅ ∠4 Prove: M is the midpoint of JK

Answer 1

|∠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