Question

given the following information, determine which lines, if any, are parallel. state the converse that justifies your answer. angle 4 = angle 9 parallel lines = converse =

Explanation:

Step1: Identify angle - pair relationship

Angle 4 and angle 9 are alternate interior angles.

Step2: Apply parallel - lines converse

If alternate interior angles are congruent, then the lines are parallel. Since ∠4≅∠9, lines a and b are parallel. The converse used is "If two lines are cut by a transversal and alternate interior angles are congruent, then the two lines are parallel."

Answer:

Parallel Lines: a and b
Converse: If two lines are cut by a transversal and alternate interior angles are congruent, then the two lines are parallel.