piyushamajgaonkar
piyushamajgaonkar piyushamajgaonkar
  • 16-01-2022
  • Mathematics
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Given: ML ll JK. Prove: MN/NK = LN/NJ​

Given ML ll JK Prove MNNK LNNJ class=

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mhanifa
mhanifa mhanifa
  • 16-01-2022

Step-by-step explanation:

Statements and reasons

  • ML ║ JK                       >> Given
  • ∠MLJ ≅ ∠KJL              >> Same side interior angles are congruent
  • ∠LMK ≅ ∠JKM             >> Same side interior angles are congruent
  • ΔMLN ~ ΔKJN              >> AA similarity postulate
  • MN / NK = LN / NJ       >> Corresponding parts of similar triangles have same ratio
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