Question

statements reasons

1. ( g parallel h ) 1. given
2. ( angle 1 cong angle 2 ) 2. corresponding angles theorm
3. ( angle 2 cong angle 3 ) 3. given
4. ( angle 1 cong angle 3 ) 4. transitive property
5. ( e parallel f ) 5. ?

what is the missing reason in the proof?
vertical angles theorem
mark this and return save and exit

Explanation:

Step1: Recall the converse of the corresponding angles theorem

The converse of the corresponding angles theorem states that if two lines are cut by a transversal and the corresponding angles are congruent, then the two lines are parallel.

Step2: Analyze the given proof

In the proof, we have shown that \(\angle1\cong\angle3\). \(\angle1\) and \(\angle3\) are corresponding angles for lines \(e\) and \(f\) with the transversal (the line that intersects both \(e\) and \(f\)).

Answer:

converse of the corresponding angles theorem