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What can be concluded if two lines are cut by a transversal and the alternate in

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Question: What can be concluded if two lines are cut by a transversal and the alternate interior angles are equal?

Options:

  1. The lines are parallel.
  2. The lines are perpendicular.
  3. The lines intersect.
  4. The angles are complementary.

Correct Answer: The lines are parallel.

Solution: 

If the alternate interior angles are equal, it can be concluded that the two lines are parallel.

What can be concluded if two lines are cut by a transversal and the alternate in

Practice Questions

Q1
What can be concluded if two lines are cut by a transversal and the alternate interior angles are equal?
  1. The lines are parallel.
  2. The lines are perpendicular.
  3. The lines intersect.
  4. The angles are complementary.

Questions & Step-by-Step Solutions

What can be concluded if two lines are cut by a transversal and the alternate interior angles are equal?
  • Alternate Interior Angles Theorem – If two parallel lines are cut by a transversal, then each pair of alternate interior angles is equal.
  • Transversal – A line that intersects two or more lines at distinct points.
  • Parallel Lines – Lines in a plane that do not meet; they are always the same distance apart.
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