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Mathematics, 21.03.2020 05:28 nommies005

Which of the following correctly justifies statement 4 of the two-column proof?

Lines JK and LM are intersected by transversal JL; the intersection of JK and JL creates angles 2, 4, 3, and 1 clockwise beginning at the top right; the intersection of LM and JL creates angles 6, 8, 7 and 5 clockwise beginning at the top right.

Given: line JK is parallel to line LM

Prove: ∠2 β‰… ∠7

Statement Justification
1. line JK is parallel to line LM 1. Given
2. ∠6 β‰… ∠7 2.
3. ∠2 β‰… ∠6 3.
4. ∠2 β‰… ∠7 4.
Corresponding Angles Theorem
Transitive Property of Equality
Vertical Angles Theorem
Substitution Property of Equality

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Which of the following correctly justifies statement 4 of the two-column proof?

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