Question

Which theorem justifies this statement, given lines M and L are parallel? ∠1 ≅ ∠7

A) Corresponding Angles Theorem
B) Alternate Interior Angles Theorem
C) Vertical Angles Theorem
D) Angle Bisector Theorem

Answer 1

The statement is justified by the Corresponding Angles Theorem, which states that corresponding angles are congruent when two parallel lines are intersected by a transversal. Thus, the correct option is A.

Step-by-step explanation:

The theorem that justifies the statement given lines M and L are parallel, ∠1 ≅ ∠7 is the Corresponding Angles Theorem.

This theorem states that if two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent.

In the context of the question, ∠1 and ∠7 are corresponding angles, as they occupy the same relative position at each intersection where the transversal crosses the two parallel lines M and L. Thus, the correct option is A.