Question

Which theorem correctly justifies why the lines m and n are parallel when cut by transversal k?

Answer 1

Answer: Option B

Explanation:

To prove that two lines are parallel when it cut be transversal.

Let  m and n are two lines and the lines are cut by transversal k.

Then, if we show that the alternate interior angles are equal, then m and n become parallel to each other.

So, the converse of the alternate interior angles theorem correctly justifies that the lines are parallel when cut by transversal.