Alternate Interior Angles Converse

Alternate Interior Angles Converse. We receive guests there, relax after a busy day and even use them as office and Alternate Interior Angles. The converse of alternate interior angle theorem states that "If the alternate interior angles produced by the transversal line on two coplanar are congruent, then the two lines are parallel to each other" Mention the properties of alternate interior angles.

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The converse of the postulate is also true: if a pair of alternate interior angles measure the same, then the lines intersected by the transversal are parallel. The converse of the theorem is also true: The Converse of the Alternate Interior Angles Theorem states that if two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel. Explanation: Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent.

The converse of the theorem is also true: The Converse of the Alternate Interior Angles Theorem states that if two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel.

If a pair of alternate interior angles is congruent, then the two lines are parallel.

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Alternate Interior Angles - Definition & Theorem with Examples

And this is how you prove the Consecutive Interior Angles Converse Theorem! Identify thealternate exterior anglesin the above figures anddetermine the angles' measures. Next, we will study several examples of how to apply the postulate and its converse.

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