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Given: ML ll JK. Prove: MN/NK = LN/NJ​

Given: ML ll JK. Prove: MN/NK = LN/NJ​
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21 votes
Given: ML ll JK. Prove: MN/NK = LN/NJ​

Given: ML ll JK. Prove: MN/NK = LN/NJ​-example-1
User Andrew Evt
by
9.4k points

1 Answer

5 votes

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
User Pierry
by
8.8k points
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