which diagram shows lines that must be parallel lines cut by a transversal?
which diagram shows lines that must be parallel lines cut by a transversal?
Answer
Explanation:
Step1: Recall parallel - line properties
When two parallel lines are cut by a transversal, corresponding angles are congruent, alternate - interior angles are congruent, and alternate - exterior angles are congruent.
Step2: Analyze the first diagram
In the first diagram, the two angles marked as (91^{\circ}) are corresponding angles. Since corresponding angles are congruent when two lines are parallel and cut by a transversal, the lines must be parallel.
Step3: Analyze the second diagram
In the second diagram, the (91^{\circ}) angles are not in a position (corresponding, alternate - interior, or alternate - exterior) that would guarantee the lines are parallel just based on the given angle information.
Answer:
The first diagram (the one with the two (91^{\circ}) corresponding angles) shows lines that must be parallel lines cut by a transversal.