Question

problem 11: (first taught in lesson 23) given that $overrightarrow{ba} parallel overrightarrow{dc}$, select which type of angle this pair is and then tell whether it is congruent or supplementary. $angle 3$ and $angle 6$ diagram of a figure with points a, b, c, d and angles labeled 1–8 after you pick your answer press go. a b c d e corresponding angles; congruent go button

Explanation:

1. First, recall the properties of parallel lines and transversals. When \( \overrightarrow{BA} \parallel \overrightarrow{DC} \), we analyze the angles formed by a transversal (here, line \( AD \) acts as a transversal for the parallel lines \( BA \) and \( DC \)).
2. \( \angle 3 \) and \( \angle 6 \) are corresponding angles because they are in the same relative position with respect to the parallel lines \( BA \parallel DC \) and the transversal \( AD \).
3. By the Corresponding Angles Postulate, when two parallel lines are cut by a transversal, corresponding angles are congruent. So \( \angle 3 \) and \( \angle 6 \) are corresponding angles and congruent.

Answer:

A. Corresponding angles; congruent