Question

question 2. in each diagram below, line r is parallel to line s. in which diagram must angle 1 be congruent to angle 2?

Explanation:

Step1: Recall parallel - line angle relationships

When two parallel lines are cut by a transversal, alternate - interior angles are congruent. Alternate - interior angles are the angles that are on the opposite sides of the transversal and between the two parallel lines.

Step2: Analyze each diagram

In a diagram where two parallel lines \(r\) and \(s\) are cut by a transversal \(t\), angle 1 and angle 2 are alternate - interior angles. In option B, angle 1 and angle 2 are alternate - interior angles formed by parallel lines \(r\) and \(s\) and transversal \(t\). In option A, they are not alternate - interior angles. In option C, they are not alternate - interior angles either.

Answer:

B