volume_mute

Refer to the figure below

publish date: 2024/03/03 12:11:00 UTC

volume_mute

transversal_example_1.gif

if \(\overline{AB} \parallel \overline{DE} \), which pairs of angles are congruent?

∠A ≅ ∠1
∠B ≅ ∠2
∠A ≅ ∠3
∠B ≅ ∠4

Correct Answer

(1) ∠A ≅ ∠1
(2) ∠B ≅ ∠2

Explanation

Since \(\overline{AB} \parallel \overline{DE} \), and \(\overleftrightarrow{AC}\) is a transversal cutting them, corresponding angles are congruent.  So we have

∠A ≅ ∠1

Since  \(\overline{AB} \parallel \overline{DE} \), and \(\overleftrightarrow{BC}\) is a transversal cutting them, corresponding angles must be congruent.  So we have 

∠B ≅ ∠2

Reference

Mathematics for college students