Question

Jula is designing a frame for a client. She wants to prove to her client that m∠AGE = m∠FHD in her sketch. What is the missing justification in the proof?

A. Alternate Exterior Angles Theorem.
B. Corresponding Angles Theorem.
C. Reflexive Property.
D. Substitution property.

Answer 1

The missing justification in the proof is the Corresponding Angles Theorem, which states that if two parallel lines are cut by a transversal, then the corresponding angles are congruent.

Step-by-step explanation:

The missing justification in the proof is the Corresponding Angles Theorem, which states that if two parallel lines are cut by a transversal, then the corresponding angles are congruent.

In this case, the given sketch shows that line AD is parallel to line EF, and line AC is parallel to line FD. Therefore, the angles formed at points G and H, which are corresponding angles, must be congruent.

By using the Corresponding Angles Theorem, Jula can prove to her client that m∠AGE = m∠FHD in her sketch.