New alternate interior angles theorem the best part Images at adidasyeezysboost.us. alternate interior angles theorem the alternate interior angles theorem states if two parallel lines are cut by a transversal then the pairs of alternate interior angles are congruent, alternate interior angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal in this example these are two pairs of alternate interior angles to help you remember the angle pairs are on alternate sides of the transversal and they are on, alternate angles are the four pairs of angles that have distinct vertex points lie on opposite sides of the transversal and both angles are interior or both angles are exterior if the two angles of one pair are congruent equal in measure then the angles of each of the other pairs are also congruent

a proof of the common geometric theorem showing that when lines are parallel alternate interior angles are congruent if you are looking for other proofs check out the playlists on my channel or

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the alternate interior angles theorem states that when two parallel lines are cut by a transversal the resulting alternate interior angles are congruent so in the figure below if k l then 2 8 and 3 5 , alternate interior angles are two congruent angles from different parallel lines one from l i one from o n this says l a r is an alternate interior angle with a r n i a r is an alternate interior angle with a r o alternate interior angles in real life look at a window with panes divided by muntins the parallel vertical muntins are probably transversed by a horizontal muntin anywhere they cross you can find alternate interior angles, converse alternate interior angles theorem states that if two lines and a transversal form alternate interior angles that are congruent then the two lines are parallel

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