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complete the proof. given: \\( \\overline { f g } \\parallel \\overline…

Question

complete the proof.
given: \\( \overline { f g } \parallel \overline { k l } , \overline { f g } \cong \overline { k l } \\)
prove: \\( \triangle f g k \cong \triangle k l f \\)
complete the proof below.

statementreasons
2. \\( \overline { f g } \cong \overline { k l } \\)2. given
3. \\( \overline { f k } \cong \overline { f k } \\)3.

Explanation:

Step1: Recall the reflexive property

The reflexive property of congruence states that any segment is congruent to itself.

Step2: Apply the property to segment \(FK\)

Since \(FK\) is a segment, by the reflexive property of \(\cong\), \(FK\cong FK\).

Answer:

Reflexive property of \(\cong\)