AIR MATH

Math Question

Maria has already proven the Alternate Interior Angles Theorem. Now, she wants to prove the
Maria's proof is shown below.
\( 2 \angle A G F=\angle G P D \) Alternate interior Angles Theorem
\( 3 \angle G F D=\angle C F E \) Vertical Angles Theorem
\( 4 \angle A G F \cong \angle C F E \) Transitive Property of Congruence
Is Maria's proof correct? If not, why?
Yes. Maria's proof is correct.
No. In Step 2, the reason that \( \angle A G F \) and \( \angle G F D \) are congruent is the Vertical Angles Theorem.
No. In Step 3, Maria should state that \( \angle G F D \) is congruent to \( \angle C F E \) by the Alternate Interior Angles Theorem.

No. Maria did not prove the Corresponding Angles Theorem because \( \angle A G F \) and \( \angle C F E \) are alternate exterior angles.

Solution

solution

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