Question

problem 5: complete this sentence with the best of the choices given. if two lines form congruent alternate interior angles with a transversal, then the lines ______. after you pick your answer press go. a. are congruent b. form 4 right angles c. are parallel d. intersect e. are perpendicular

Explanation:

The Alternate Interior Angles Theorem (and its converse) states that if two lines are cut by a transversal and the alternate interior angles are congruent, then the two lines are parallel. Option A is incorrect as lines can't be "congruent" (congruence applies to shapes/figures). Option B is incorrect as this describes perpendicular lines with a transversal, not just congruent alternate interior angles. Option D is incorrect because parallel lines do not intersect, and this condition leads to parallelism, not intersection. Option E is incorrect as perpendicular lines form right angles, but the given condition is about congruent alternate interior angles (a condition for parallelism, not perpendicularity).

Answer:

C. are parallel