Complete each two-column proofs. Given: ∠N≅∠L, JK¯¯¯¯¯≅MK¯¯¯¯¯¯¯ Prove: △JKN≅△MKL

Tobias Ali

Tobias Ali

Answered question

2020-11-10

Complete each two-column proofs. Given: NL,JK¯¯¯¯¯MK¯¯¯¯¯¯¯
Prove: JKNMKL

Answer & Explanation

likvau

likvau

Skilled2020-11-11Added 75 answers

Brief Summary of the Evidence NL and JK¯¯¯¯¯≅MK¯¯¯¯¯¯¯ With one pair of congruent angles and one pair of congruent sides, JKN and MKL are therefore equivalent. Considering that vertical angles are same, JKNMKL. Consequently, the triangles have two pairs of congruent corresponding angles and a pair of congruent corresponding sides that are not included. AAS then requires that the triangles be congruent.
Proof:
Statements Reasons
1.NL,JKMK 1. Given 
2.JKNMKL 2. Vertical Angles Theorem 
3.JKNMKL 3. AAS

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