Question

the diagrams represent the stripes used to mark parking spaces on a lot. based only on the information given, which diagram could be used to prove ab || cd and ac || bd? exit ticket

Explanation:

Step1: Recall parallel - line criteria

If alternate interior angles are equal, then the lines are parallel. If corresponding angles are equal, then the lines are parallel. If same - side interior angles are supplementary (sum to 180°), then the lines are parallel.

Step2: Analyze option C

In option C, for lines \(AB\) and \(CD\), the angles marked as \(55^{\circ}\) are alternate interior angles. Since they are equal (\(55^{\circ}=55^{\circ}\)), \(AB\parallel CD\). For lines \(AC\) and \(BD\), the angles marked as \(125^{\circ}\) and \(55^{\circ}\) are same - side interior angles and \(125 + 55=180^{\circ}\), so \(AC\parallel BD\).

Answer:

C