Proving Lines Parallel
Goal:
·State and apply the theorems about parallel
lines
If lines are parallel, then what do you know about
certain angles?
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Parallel Postulate. · If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel. Parallel Theorem.
Typology: Lecture notes
2022/2023
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Proving Lines Parallel Goal: · State and apply the theorems about parallel lines If lines are parallel, then what do you know about certain angles?
Do you think the converse of these postulates/theorems are true? Parallel Postulate · If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel. Parallel Theorem · Two lines parallel to a third line are parallel to each other.
Which segments are parallel? Proof of Converse AIA Theorem Given: ∠ 1 ≅ ∠ 2 Prove: k ∥ n 1 2 3 k n t