Mathematics

Emmalee Roman

13 July, 21:01

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: ∠1 ≅ ∠8 Statement Justification 1. line JK is parallel to line LM 1. Given 2. ∠1 ≅ ∠4 2. 3. ∠4 ≅ ∠8 3. 4. ∠1 ≅ ∠8 4. Transitive Property of Equality Corresponding Angles Theorem Vertical Angles Theorem Substitution Property of Equality