Question

1. in the diagrams below, line a is parallel to line b. in which diagram is angle 3 congruent to angle 4? a. b. c. d.

Explanation:

Step1: Recall angle - congruence rules for parallel lines

When two parallel lines are cut by a transversal, corresponding angles, alternate - interior angles, and alternate - exterior angles are congruent.

Step2: Analyze each diagram

In a diagram with parallel lines \(a\) and \(b\) cut by a transversal, we need to find the relationship between angle 3 and angle 4. In option b, if line \(a\) is parallel to line \(b\) and they are cut by a transversal, angle 3 and angle 4 are corresponding angles. Corresponding angles formed by two parallel lines and a transversal are congruent.

Answer:

b