Question

What is the name of the relationship between Mathml image1 and Mathml image4?
Parallel Lines and Transversals


Question 5 options:

corresponding angles

alternate interior angles

same side interior (supplementary)


vertical angles

Answer 1

Answer:

  alternate interior angles

Step-by-step explanation:

∠1 and ∠4 are on opposite sides of the transversal, so are called "alternate" angles. They are both between the parallel lines, so are called "interior" angles.

∠1 and ∠4 are "alternate interior angles". Angles 2 and 3 are also alternate interior angles. The measures of alternate interior angles are the same:

  m∠1 = m∠4

  m∠2 = m∠3

Hence, alternate interior angles are congruent.