The missing piece of information in the paragraph proof to prove that l║m is: ∠2 and ∠3 (corresponding angles)
What is the Corresponding Angles Theorem?
- The corresponding angles theorem states that the corresponding angles formed congruent to each other when two parallel lines are cut by a transversal.
- Conversely, when a transversal cuts two straight lines, if the corresponding angles formed are congruent, then the two lines that are cut by the transversal are parallel to each other.
The corresponding angles in the image given are: ∠2 and ∠3.
Since ∠2 ≅ ∠3, therefore lines l and m will be parallel.
In conclusion, the missing piece of information in the paragraph proof to prove that l║m is: ∠2 and ∠3 (corresponding angles)
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