Question

(if none of the parallel lines are determined to be parallel, select \ii/a\ for the reason)
ex:_____∠3 = ∠6
reason #_____1

1. if aia ≅, then lines ||
2. if aea ≅, then lines ||
3. if ca ≅, then lines ||
4. if ssia supp., then lines ||
5. if ssea supp., then lines ||

ii/a
reason 3. if ca ≅, then lines ||

Explanation:

Step1: Recall parallel line theorems

Corresponding Angles (CA) theorem states that if two lines are cut by a transversal and the corresponding angles are equal, then the two lines are parallel.

Step2: Identify the lines and angles

In the given diagram, if we assume that the corresponding angles (related to lines \(k\) and \(m\)) are equal (as per the selection of "If CA ≅, then lines ||"), we are using the Corresponding Angles Postulate.

Answer:

The parallel lines are \(k\parallel m\) and the reason is the Corresponding Angles Postulate.