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complete the proof. given: $overline{fg}paralleloverline{kl}$, $overlin…

Question

complete the proof. given: $overline{fg}paralleloverline{kl}$, $overline{fg}congoverline{kl}$ prove: $\triangle fgkcong\triangle klf$ complete the proof below. statement reasons 1. $overline{fg}paralleloverline{kl}$ 1. given 2. $overline{fg}congoverline{kl}$ 2. given 3. $overline{fk}congoverline{fk}$ 3. reflexive property of $cong$ 4. $overline{fl}congoverline{kg}$ 4. alternate interior angles theorem given vertical angle theorem alternate interior angles theorem same - side interior angles theorem

Explanation:

Answer:

  1. Reason is incorrect. Correct reason: Opposite - sides of a parallelogram are congruent (since \(FG\parallel KL\) and \(FG = KL\), \(FGKL\) is a parallelogram)