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1. If two parallel lines are cut by a transversal, then alternate interior angles are congruent
2. If two parallel lines are cut by a transversal, then corresponding angles are congruent
3. If two parallel lines are cut by a transversal, then alternate exterior angles are congruent
4. If two parallel lines are cut by a transversal, then complementary angles are congruent

1 If two parallel lines are cut by a transversal then alternate interior angles are congruent 2 If two parallel lines are cut by a transversal then correspondin class=

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micjona14

the following are my reminders in using this module

  By the property of alternate interior angles, Option (1) is the correct statement.    

    From the figure attached,

  • ∠XWY ≅ ∠ZYW

    Property of the alternate angles states, if two parallel lines are cut by a transversal, then the alternate angles are congruent.

By this property,

 Lines XW and YZ are the parallel lines intersected by a transversal WY.

Here, ∠XWY and ∠ZYW represent the interior angles between the parallel lines and the transversal.

 Therefore, interior alternate angles ∠XWY and ∠ZYW will be congruent.

Hence, Option (1) will be the correct option.

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